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40102112412 = 22323730106691
BaseRepresentation
bin100101010110010001…
…011010110010011100
310211111210012101101200
4211112101122302130
51124112120044122
630231143235500
72616524221425
oct452621326234
9124453171350
1040102112412
111600966266a
127932148b90
133a212856cb
141d25d8c64c
15109a9575ac
hex95645ac9c

40102112412 has 36 divisors (see below), whose sum is σ = 104108940936. Its totient is φ = 13006090080.

The previous prime is 40102112411. The next prime is 40102112471. The reversal of 40102112412 is 21421120104.

40102112412 is a `hidden beast` number, since 40 + 1 + 0 + 211 + 2 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15052014 + ... + 15054677.

It is an arithmetic number, because the mean of its divisors is an integer number (2891915026).

Almost surely, 240102112412 is an apocalyptic number.

It is an amenable number.

40102112412 is an abundant number, since it is smaller than the sum of its proper divisors (64006828524).

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

40102112412 is a wasteful number, since it uses less digits than its factorization.

40102112412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30106738 (or 30106733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40102112412 its reverse (21421120104), we get a palindrome (61523232516).

The spelling of 40102112412 in words is "forty billion, one hundred two million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 30106691 60213382 90320073 120426764 180640146 270960219 361280292 541920438 1083840876 1113947567 2227895134 3341842701 4455790268 6683685402 10025528103 13367370804 20051056206 40102112412