Search a number
-
+
32030134040400 = 24352156611704347
BaseRepresentation
bin1110100100001100110001…
…10000101111011101010000
311012102001101010001110200120
413102012120300233131100
513144240203303243100
6152042235045150240
76514046403122406
oct722063060573520
9135361333043616
1032030134040400
11a2299a3707461
1237137a30bb380
1314b4575a6a252
147ca3a3db7476
153a829d55b0a0
hex1d2198c2f750

32030134040400 has 120 divisors (see below), whose sum is σ = 102609807757344. Its totient is φ = 8540818675200.

The previous prime is 32030134040363. The next prime is 32030134040423. The reversal of 32030134040400 is 404043103023.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×320301340404003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17941027 + ... + 19645373.

Almost surely, 232030134040400 is an apocalyptic number.

32030134040400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32030134040400 is an abundant number, since it is smaller than the sum of its proper divisors (70579673716944).

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

32030134040400 is a wasteful number, since it uses less digits than its factorization.

32030134040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720029 (or 1720018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32030134040400 its reverse (404043103023), we get a palindrome (32434177143423).

The spelling of 32030134040400 in words is "thirty-two trillion, thirty billion, one hundred thirty-four million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 15661 31322 46983 62644 78305 93966 125288 156610 187932 234915 250576 313220 375864 391525 469830 626440 751728 783050 939660 1174575 1252880 1566100 1704347 1879320 2349150 3132200 3408694 3758640 4698300 5113041 6264400 6817388 8521735 9396600 10226082 13634776 17043470 18793200 20452164 25565205 27269552 34086940 40904328 42608675 51130410 68173880 81808656 85217350 102260820 127826025 136347760 170434700 204521640 255652050 340869400 409043280 511304100 681738800 1022608200 2045216400 26691778367 53383556734 80075335101 106767113468 133458891835 160150670202 213534226936 266917783670 320301340404 400376675505 427068453872 533835567340 640602680808 667294459175 800753351010 1067671134680 1281205361616 1334588918350 1601506702020 2001883377525 2135342269360 2669177836700 3203013404040 4003766755050 5338355673400 6406026808080 8007533510100 10676711346800 16015067020200 32030134040400