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40711100111704 = 23112223188596061
BaseRepresentation
bin10010100000110110010101…
…01010010001101101011000
312100010221110120020111201201
421100123022222101231120
520314002313112033304
6222330230551323544
711401165004211661
oct1120331252215530
9170127416214651
1040711100111704
1111a76531749a00
1246961010805b4
13199406a611629
14a0a5dbab0368
154a8ec853b3a4
hex2506caa91b58

40711100111704 has 48 divisors (see below), whose sum is σ = 84279808186560. Its totient is φ = 18422063140800.

The previous prime is 40711100111609. The next prime is 40711100111741.

40711100111704 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×407111001117043 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94082167 + ... + 94513894.

It is an arithmetic number, because the mean of its divisors is an integer number (1755829337220).

Almost surely, 240711100111704 is an apocalyptic number.

40711100111704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40711100111704 is an abundant number, since it is smaller than the sum of its proper divisors (43568708074856).

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

40711100111704 is a wasteful number, since it uses less digits than its factorization.

40711100111704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188596312 (or 188596297 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 28.

It can be divided in two parts, 40711100 and 111704, that added together give a palindrome (40822804).

The spelling of 40711100111704 in words is "forty trillion, seven hundred eleven billion, one hundred million, one hundred eleven thousand, seven hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 223 242 446 484 892 968 1784 2453 4906 9812 19624 26983 53966 107932 215864 188596061 377192122 754384244 1508768488 2074556671 4149113342 8298226684 16596453368 22820123381 42056921603 45640246762 84113843206 91280493524 168227686412 182560987048 336455372824 462626137633 925252275266 1850504550532 3701009101064 5088887513963 10177775027926 20355550055852 40711100111704