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40120100431 = 2953149239733
BaseRepresentation
bin100101010111010110…
…000010011001001111
310211120001001021022121
4211113112002121033
51124131221203211
630233024553411
72620133140555
oct452726023117
9124501037277
1040120100431
11160188292a4
127938182867
133a24c130c8
141d28511bd5
15109c30c271
hex95758264f

40120100431 has 32 divisors (see below), whose sum is σ = 42806880000. Its totient is φ = 37541457408.

The previous prime is 40120100429. The next prime is 40120100507. The reversal of 40120100431 is 13400102104.

40120100431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40120100431 - 21 = 40120100429 is a prime.

It is a super-2 number, since 2×401201004312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40120100401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54733741 + ... + 54734473.

It is an arithmetic number, because the mean of its divisors is an integer number (1337715000).

Almost surely, 240120100431 is an apocalyptic number.

40120100431 is a deficient number, since it is larger than the sum of its proper divisors (2686779569).

40120100431 is a wasteful number, since it uses less digits than its factorization.

40120100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40120100431 its reverse (13400102104), we get a palindrome (53520202535).

The spelling of 40120100431 in words is "forty billion, one hundred twenty million, one hundred thousand, four hundred thirty-one".

Divisors: 1 29 53 149 239 733 1537 4321 6931 7897 12667 21257 35611 38849 109217 175187 229013 367343 1032719 1126621 1887383 3167293 5080423 5788501 9284911 26102863 54734107 167866529 269262419 756983027 1383451739 40120100431