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23042111124032 = 2671113359673313
BaseRepresentation
bin1010011110100111010001…
…10110010011001001000000
310000120210201100020112100022
411033103220312103021000
511010010220421432112
6121001222201113012
74565510664644240
oct517235066231100
9100523640215308
1023042111124032
117384117028560
122701870488768
13cb1b2837a3c0
1459935bc65b20
1529e5a15c4d72
hex14f4e8d93240

23042111124032 has 112 divisors (see below), whose sum is σ = 61391918620032. Its totient is φ = 8286873108480.

The previous prime is 23042111124031. The next prime is 23042111124121.

It is a happy number.

23042111124032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 23042111123992 and 23042111124010.

It is not an unprimeable number, because it can be changed into a prime (23042111124031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179772593 + ... + 179900720.

It is an arithmetic number, because the mean of its divisors is an integer number (548142130536).

Almost surely, 223042111124032 is an apocalyptic number.

23042111124032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23042111124032 is an abundant number, since it is smaller than the sum of its proper divisors (38349807496000).

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

23042111124032 is a wasteful number, since it uses less digits than its factorization.

23042111124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359673356 (or 359673346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2304211 and 1124032, that added together give a palindrome (3428243).

The spelling of 23042111124032 in words is "twenty-three trillion, forty-two billion, one hundred eleven million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 16016 32032 64064 359673313 719346626 1438693252 2517713191 2877386504 3956406443 4675753069 5035426382 5754773008 7912812886 9351506138 10070852764 11509546016 15825625772 18703012276 20141705528 23019092032 27694845101 31651251544 32730271483 37406024552 40283411056 51433283759 55389690202 63302503088 65460542966 74812049104 80566822112 102866567518 110779380404 126605006176 130921085932 149624098208 161133644224 205733135036 221558760808 253210012352 261842171864 299248196416 360032986313 411466270072 443117521616 523684343728 720065972626 822932540144 886235043232 1047368687456 1440131945252 1645865080288 1772470086464 2094737374912 2880263890504 3291730160576 5760527781008 11521055562016 23042111124032