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40948637436441 = 3271237952506533
BaseRepresentation
bin10010100111110000110001…
…11111010000101000011001
312100222122120221121212100200
421103320120333100220121
520331400302140431231
6223031313324452413
711424304260154350
oct1123703077205031
9170878527555320
1040948637436441
1112058246338829
1247141539aa109
1319b0594721857
14a17cd3266997
154b027c190be6
hex253e18fd0a19

40948637436441 has 24 divisors (see below), whose sum is σ = 67603212655680. Its totient is φ = 23397330711456.

The previous prime is 40948637436419. The next prime is 40948637436451. The reversal of 40948637436441 is 14463473684904.

It is a happy number.

40948637436441 is a `hidden beast` number, since 4 + 0 + 94 + 8 + 6 + 3 + 74 + 36 + 441 = 666.

It is not a de Polignac number, because 40948637436441 - 225 = 40948603882009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40948637436451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25473390 + ... + 27033143.

It is an arithmetic number, because the mean of its divisors is an integer number (2816800527320).

Almost surely, 240948637436441 is an apocalyptic number.

It is an amenable number.

40948637436441 is a deficient number, since it is larger than the sum of its proper divisors (26654575219239).

40948637436441 is a wasteful number, since it uses less digits than its factorization.

40948637436441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52518925 (or 52518922 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 40948637436441 in words is "forty trillion, nine hundred forty-eight billion, six hundred thirty-seven million, four hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 12379 37137 86653 111411 259959 779877 52506533 157519599 367545731 472558797 1102637193 3307911579 649978372007 1949935116021 4549848604049 5849805348063 13649545812147 40948637436441