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40460694372 = 22337222124097
BaseRepresentation
bin100101101011101001…
…010011001101100100
310212102202221020101000
4211223221103031210
51130330414204442
630330513033300
72631440141040
oct455351231544
9125382836330
1040460694372
111618300959a
127a12255830
133a7a654b97
141d5b851020
1510bc188d4c
hex96ba53364

40460694372 has 96 divisors (see below), whose sum is σ = 119942493440. Its totient is φ = 11554513920.

The previous prime is 40460694347. The next prime is 40460694377. The reversal of 40460694372 is 27349606404.

It is a happy number.

40460694372 is a `hidden beast` number, since 4 + 0 + 4 + 606 + 9 + 4 + 37 + 2 = 666.

40460694372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40460694377) 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, 1667028 + ... + 1691124.

Almost surely, 240460694372 is an apocalyptic number.

40460694372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40460694372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59971246720).

40460694372 is an abundant number, since it is smaller than the sum of its proper divisors (79481799068).

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

40460694372 is a wasteful number, since it uses less digits than its factorization.

40460694372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26338 (or 26330 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40460694372 in words is "forty billion, four hundred sixty million, six hundred ninety-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2221 4442 6663 8884 13326 15547 19989 24097 26652 31094 39978 46641 48194 59967 62188 72291 79956 93282 96388 119934 139923 144582 168679 186564 216873 239868 279846 289164 337358 419769 433746 506037 559692 650619 674716 839538 867492 1012074 1301238 1518111 1679076 2024148 2602476 3036222 4554333 6072444 9108666 18217332 53519437 107038874 160558311 214077748 321116622 374636059 481674933 642233244 749272118 963349866 1123908177 1445024799 1498544236 1926699732 2247816354 2890049598 3371724531 4495632708 5780099196 6743449062 10115173593 13486898124 20230347186 40460694372