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41014771968 = 283138138671
BaseRepresentation
bin100110001100101010…
…111100000100000000
310220212101112021221110
4212030222330010000
51132444240200333
630501504523320
72651245544442
oct461452740400
9126771467843
1041014771968
1116437851265
127b47920540
133b38392351
141db1282492
151100b35063
hex98cabc100

41014771968 has 72 divisors (see below), whose sum is σ = 109240974976. Its totient is φ = 13661337600.

The previous prime is 41014771937. The next prime is 41014772017. The reversal of 41014771968 is 86917741014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041273 + ... + 1079943.

Almost surely, 241014771968 is an apocalyptic number.

41014771968 is a gapful number since it is divisible by the number (48) 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 41014771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54620487488).

41014771968 is an abundant number, since it is smaller than the sum of its proper divisors (68226203008).

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

41014771968 is a wasteful number, since it uses less digits than its factorization.

41014771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40071 (or 40057 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 41014771968 in words is "forty-one billion, fourteen million, seven hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1381 2762 4143 5524 8286 11048 16572 22096 33144 38671 44192 66288 77342 88384 116013 132576 154684 176768 232026 265152 309368 353536 464052 530304 618736 928104 1060608 1237472 1856208 2474944 3712416 4949888 7424832 9899776 14849664 29699328 53404651 106809302 160213953 213618604 320427906 427237208 640855812 854474416 1281711624 1708948832 2563423248 3417897664 5126846496 6835795328 10253692992 13671590656 20507385984 41014771968