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40556245056 = 2635910334759
BaseRepresentation
bin100101110001010101…
…110011000001000000
310212200102201201021020
4211301111303001000
51131024344320211
630344205025440
72634010252335
oct456125630100
9125612651236
1040556245056
1116221a411a8
127a3a255280
133a9439b452
141d6a40498c
1510c5760306
hex971573040

40556245056 has 112 divisors (see below), whose sum is σ = 110186419200. Its totient is φ = 13160212992.

The previous prime is 40556245031. The next prime is 40556245099. The reversal of 40556245056 is 65054265504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40556244999 and 40556245017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149405 + ... + 1184163.

Almost surely, 240556245056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40556245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55093209600).

40556245056 is an abundant number, since it is smaller than the sum of its proper divisors (69630174144).

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

40556245056 is a wasteful number, since it uses less digits than its factorization.

40556245056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34936 (or 34926 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 40556245056 in words is "forty billion, five hundred fifty-six million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 103 118 177 192 206 236 309 354 412 472 618 708 824 944 1236 1416 1648 1888 2472 2832 3296 3776 4944 5664 6077 6592 9888 11328 12154 18231 19776 24308 34759 36462 48616 69518 72924 97232 104277 139036 145848 194464 208554 278072 291696 388928 417108 556144 583392 834216 1112288 1166784 1668432 2050781 2224576 3336864 3580177 4101562 6152343 6673728 7160354 8203124 10740531 12304686 14320708 16406248 21481062 24609372 28641416 32812496 42962124 49218744 57282832 65624992 85924248 98437488 114565664 131249984 171848496 196874976 211230443 229131328 343696992 393749952 422460886 633691329 687393984 844921772 1267382658 1689843544 2534765316 3379687088 5069530632 6759374176 10139061264 13518748352 20278122528 40556245056