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40254205024 = 2511941312149
BaseRepresentation
bin100101011111010101…
…100110110001100000
310211220101101111020101
4211133111212301200
51124420034030044
630254215152144
72623352045215
oct453725466140
9124811344211
1040254205024
11160874a4040
127975075654
133a46937c37
141d3c25db0c
1510a8e9bcd4
hex95f566c60

40254205024 has 48 divisors (see below), whose sum is σ = 86471355600. Its totient is φ = 18293916160.

The previous prime is 40254205003. The next prime is 40254205027. The reversal of 40254205024 is 42050245204.

40254205024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402542050242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40254204983 and 40254205001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40254205027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3307302 + ... + 3319450.

It is an arithmetic number, because the mean of its divisors is an integer number (1801486575).

Almost surely, 240254205024 is an apocalyptic number.

40254205024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40254205024 is an abundant number, since it is smaller than the sum of its proper divisors (46217150576).

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

40254205024 is a wasteful number, since it uses less digits than its factorization.

40254205024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21583 (or 21575 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 40254205024 in words is "forty billion, two hundred fifty-four million, two hundred five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 9413 12149 18826 24298 37652 48596 75304 97192 103543 133639 150608 194384 207086 267278 301216 388768 414172 534556 828344 1069112 1656688 2138224 3313376 4276448 114358537 228717074 457434148 914868296 1257943907 1829736592 2515887814 3659473184 5031775628 10063551256 20127102512 40254205024