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32431430000000 = 27573243143
BaseRepresentation
bin1110101111111000001111…
…10111010101110110000000
311020211102012010012102001002
413113330013313111312000
513222324032040000000
6152550443202231132
76555044032365323
oct727740767256600
9136742163172032
1032431430000000
11a374101827449
1237795183554a8
131513369a2a495
148019923287ba
153b3938ae78d5
hex1d7f07dd5d80

32431430000000 has 128 divisors (see below), whose sum is σ = 80761679968320. Its totient is φ = 12972568000000.

The previous prime is 32431429999979. The next prime is 32431430000029. The reversal of 32431430000000 is 3413423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×324314300000003 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8378429 + ... + 11621571.

Almost surely, 232431430000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32431430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40380839984160).

32431430000000 is an abundant number, since it is smaller than the sum of its proper divisors (48330249968320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32431430000000 is an frugal number, since it uses more digits than its factorization.

32431430000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243192 (or 3243150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32431430000000 its reverse (3413423), we get a palindrome (32431433413423).

The spelling of 32431430000000 in words is "thirty-two trillion, four hundred thirty-one billion, four hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1250000 2000000 2500000 3243143 5000000 6486286 10000000 12972572 16215715 25945144 32431430 51890288 64862860 81078575 103780576 129725720 162157150 207561152 259451440 324314300 405392875 415122304 518902880 648628600 810785750 1037805760 1297257200 1621571500 2026964375 2075611520 2594514400 3243143000 4053928750 5189028800 6486286000 8107857500 10134821875 10378057600 12972572000 16215715000 20269643750 25945144000 32431430000 40539287500 50674109375 51890288000 64862860000 81078575000 101348218750 129725720000 162157150000 202696437500 253370546875 259451440000 324314300000 405392875000 506741093750 648628600000 810785750000 1013482187500 1297257200000 1621571500000 2026964375000 3243143000000 4053928750000 6486286000000 8107857500000 16215715000000 32431430000000