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23040433404032 = 271121487631289
BaseRepresentation
bin1010011110100100001001…
…10110010011100010000000
310000120122101102022112011112
411033102010312103202000
511004443301422412112
6121000343505502452
74565421263365262
oct517220466234200
9100518342275145
1023040433404032
117383435aa2700
122701482641a28
13cb191b901c85
1459923d0ddb32
1529e504172a22
hex14f484d93880

23040433404032 has 48 divisors (see below), whose sum is σ = 50453015200350. Its totient is φ = 10472924267520.

The previous prime is 23040433404019. The next prime is 23040433404041.

23040433404032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 19868985311296 + 3171448092736 = 4457464^2 + 1780856^2 .

It is a super-2 number, since 2×230404334040322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 23040433404032.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743800157 + ... + 743831132.

Almost surely, 223040433404032 is an apocalyptic number.

23040433404032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23040433404032 is an abundant number, since it is smaller than the sum of its proper divisors (27412581796318).

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

23040433404032 is a wasteful number, since it uses less digits than its factorization.

23040433404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487631325 (or 1487631302 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 2304043 and 3404032, that added together give a palindrome (5708075).

The spelling of 23040433404032 in words is "twenty-three trillion, forty billion, four hundred thirty-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 1487631289 2975262578 5950525156 11901050312 16363944179 23802100624 32727888358 47604201248 65455776716 95208402496 130911553432 180003385969 190416804992 261823106864 360006771938 523646213728 720013543876 1047292427456 1440027087752 2094584854912 2880054175504 5760108351008 11520216702016 23040433404032