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10034423242344 = 23361720580117
BaseRepresentation
bin1001001000000101001000…
…1110111001111001101000
31022112021121012122011000000
42102001102032321321220
52303400444322223334
633201430030343000
72053651235153364
oct222012216717150
938467535564000
1010034423242344
113219636361536
1211608a405aa60
1357a31ba30787
14269950bc22a4
15126042047299
hex920523b9e68

10034423242344 has 56 divisors (see below), whose sum is σ = 28208911034610. Its totient is φ = 3344807745504.

The previous prime is 10034423242307. The next prime is 10034423242351. The reversal of 10034423242344 is 44324232443001.

10034423242344 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 44 + 232 + 42 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7349314965444 + 2685108276900 = 2710962^2 + 1638630^2 .

It is a super-2 number, since 2×100344232423442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10034423242299 and 10034423242308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 860284227 + ... + 860295890.

Almost surely, 210034423242344 is an apocalyptic number.

It is an amenable number.

10034423242344 is an abundant number, since it is smaller than the sum of its proper divisors (18174487792266).

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

10034423242344 is an equidigital number, since it uses as much as digits as its factorization.

10034423242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720580141 (or 1720580122 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 10034423242344 its reverse (44324232443001), we get a palindrome (54358655685345).

The spelling of 10034423242344 in words is "ten trillion, thirty-four billion, four hundred twenty-three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 1720580117 3441160234 5161740351 6882320468 10323480702 13764640936 15485221053 20646961404 30970442106 41293922808 46455663159 61940884212 92911326318 123881768424 139366989477 185822652636 278733978954 371645305272 418100968431 557467957908 836201936862 1114935915816 1254302905293 1672403873724 2508605810586 3344807747448 5017211621172 10034423242344