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10142366653420 = 2253743318741881
BaseRepresentation
bin1001001110010111010000…
…1010010101101111101100
31022220121012222012120201221
42103211310022111233230
52312133031330402140
633323201112313124
72064522205052641
oct223456412255754
938817188176657
1010142366653420
113260398623981
1211797aa0a27a4
1358756212bb51
14270c70bb9dc8
15128c5d80014a
hex93974295bec

10142366653420 has 48 divisors (see below), whose sum is σ = 22383329921568. Its totient is φ = 3855501780480.

The previous prime is 10142366653357. The next prime is 10142366653429. The reversal of 10142366653420 is 2435666324101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (10142366653429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159339121 + ... + 159402760.

It is an arithmetic number, because the mean of its divisors is an integer number (466319373366).

Almost surely, 210142366653420 is an apocalyptic number.

10142366653420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142366653420 is an abundant number, since it is smaller than the sum of its proper divisors (12240963268148).

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

10142366653420 is a wasteful number, since it uses less digits than its factorization.

10142366653420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318741970 (or 318741968 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 10142366653420 in words is "ten trillion, one hundred forty-two billion, three hundred sixty-six million, six hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1591 3182 6364 7955 15910 31820 318741881 637483762 1274967524 1593709405 3187418810 6374837620 11793449597 13705900883 23586899194 27411801766 47173798388 54823603532 58967247985 68529504415 117934495970 137059008830 235868991940 274118017660 507118332671 1014236665342 2028473330684 2535591663355 5071183326710 10142366653420