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41156045416 = 2317975935261
BaseRepresentation
bin100110010101000101…
…110110101001101000
310221020020100201200101
4212111011312221220
51133241421423131
630523512515144
72654612420413
oct462505665150
9127206321611
1041156045416
11164aa573082
127b870abab4
133b5b7271c5
141dc5d38b7a
15110d23dc61
hex995176a68

41156045416 has 64 divisors (see below), whose sum is σ = 82704116880. Its totient is φ = 19131924480.

The previous prime is 41156045401. The next prime is 41156045429. The reversal of 41156045416 is 61454065114.

It can be written as a sum of positive squares in 8 ways, for example, as 32461228900 + 8694816516 = 180170^2 + 93246^2 .

It is a super-2 number, since 2×411560454162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7820226 + ... + 7825486.

Almost surely, 241156045416 is an apocalyptic number.

It is an amenable number.

41156045416 is an abundant number, since it is smaller than the sum of its proper divisors (41548071464).

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

41156045416 is a wasteful number, since it uses less digits than its factorization.

41156045416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

It can be divided in two parts, 411560 and 45416, that added together give a 4-th power (456976 = 264).

The spelling of 41156045416 in words is "forty-one billion, one hundred fifty-six million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 68 97 136 194 388 593 776 1186 1649 2372 3298 4744 5261 6596 10081 10522 13192 20162 21044 40324 42088 57521 80648 89437 115042 178874 230084 357748 460168 510317 715496 977857 1020634 1955714 2041268 3119773 3911428 4082536 6239546 7822856 8675389 12479092 17350778 24958184 34701556 53036141 69403112 106072282 212144564 302617981 424289128 605235962 1210471924 2420943848 5144505677 10289011354 20578022708 41156045416