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40431008007 = 351371180263
BaseRepresentation
bin100101101001111000…
…000011100100000111
310212100201002000100000
4211221320003210013
51130300314224012
630323532452343
72630626616625
oct455170034407
9125321060300
1040431008007
1116168282805
127a0431a0b3
133a7445c8a0
141d57924515
1510b9772ddc
hex969e03907

40431008007 has 48 divisors (see below), whose sum is σ = 66141024768. Its totient is φ = 24530052960.

The previous prime is 40431007997. The next prime is 40431008017. The reversal of 40431008007 is 70080013404.

It is an interprime number because it is at equal distance from previous prime (40431007997) and next prime (40431008017).

It is not a de Polignac number, because 40431008007 - 26 = 40431007943 is a prime.

It is a super-2 number, since 2×404310080072 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431008017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134158 + ... + 314420.

It is an arithmetic number, because the mean of its divisors is an integer number (1377938016).

Almost surely, 240431008007 is an apocalyptic number.

40431008007 is a deficient number, since it is larger than the sum of its proper divisors (25710016761).

40431008007 is a wasteful number, since it uses less digits than its factorization.

40431008007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180362 (or 180350 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 40431008007 in words is "forty billion, four hundred thirty-one million, eight thousand, seven".

Divisors: 1 3 9 13 27 39 71 81 117 213 243 351 639 923 1053 1917 2769 3159 5751 8307 17253 24921 74763 180263 224289 540789 1622367 2343419 4867101 7030257 12798673 14601303 21090771 38396019 43803909 63272313 115188057 166382749 189816939 345564171 499148247 569450817 1036692513 1497444741 3110077539 4492334223 13477002669 40431008007