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41382112416 = 253431063671
BaseRepresentation
bin100110100010100100…
…001110110010100000
310221210222202010022020
4212202210032302200
51134222310044131
631002150141440
72663326103031
oct464244166240
9127728663266
1041382112416
111660613a607
12802a951880
133b9650a268
142007d84a88
151122ee6996
hex9a290eca0

41382112416 has 24 divisors (see below), whose sum is σ = 108628045344. Its totient is φ = 13794037440.

The previous prime is 41382112357. The next prime is 41382112433. The reversal of 41382112416 is 61421128314.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×413821124162 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215531740 + ... + 215531931.

It is an arithmetic number, because the mean of its divisors is an integer number (4526168556).

Almost surely, 241382112416 is an apocalyptic number.

It is an amenable number.

41382112416 is an abundant number, since it is smaller than the sum of its proper divisors (67245932928).

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

41382112416 is a wasteful number, since it uses less digits than its factorization.

41382112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431063684 (or 431063676 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The spelling of 41382112416 in words is "forty-one billion, three hundred eighty-two million, one hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431063671 862127342 1293191013 1724254684 2586382026 3448509368 5172764052 6897018736 10345528104 13794037472 20691056208 41382112416