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10142114240024 = 2313231872353801
BaseRepresentation
bin1001001110010110010100…
…0111011101011000011000
31022220120120101020122122122
42103211211013131120120
52312132022221140044
633323120054240412
72064513021426554
oct223454507353030
938816511218578
1010142114240024
1132602790a1a68
121179739656108
13587521a52b00
14270c49472864
15128c46590dee
hex939651dd618

10142114240024 has 48 divisors (see below), whose sum is σ = 20598262530120. Its totient is φ = 4679505043200.

The previous prime is 10142114239987. The next prime is 10142114240029. The reversal of 10142114240024 is 42004241124101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10142114239975 and 10142114240002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142114240029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3131924 + ... + 5485724.

Almost surely, 210142114240024 is an apocalyptic number.

It is an amenable number.

10142114240024 is an abundant number, since it is smaller than the sum of its proper divisors (10456148290096).

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

10142114240024 is a wasteful number, since it uses less digits than its factorization.

10142114240024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357020 (or 2357003 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 10142114240024 its reverse (42004241124101), we get a palindrome (52146355364125).

The spelling of 10142114240024 in words is "ten trillion, one hundred forty-two billion, one hundred fourteen million, two hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 3187 6374 12748 25496 41431 82862 165724 331448 538603 1077206 2154412 2353801 4308824 4707602 9415204 18830408 30599413 61198826 122397652 244795304 397792369 795584738 1591169476 3182338952 7501563787 15003127574 30006255148 60012510296 97520329231 195040658462 390081316924 780162633848 1267764280003 2535528560006 5071057120012 10142114240024