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41340409728 = 273107657317
BaseRepresentation
bin100110100000000101…
…001001011110000000
310221201002021101222020
4212200011021132000
51134131121102403
630554100241440
72662311453612
oct464005113600
9127632241866
1041340409728
1116594646782
1280189a0280
133b8a998707
14200260adb2
15111e50a453
hex9a0149780

41340409728 has 32 divisors (see below), whose sum is σ = 109810464360. Its totient is φ = 13780136448.

The previous prime is 41340409723. The next prime is 41340409771. The reversal of 41340409728 is 82790404314.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41340409728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41340409723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53828275 + ... + 53829042.

Almost surely, 241340409728 is an apocalyptic number.

41340409728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41340409728 is an abundant number, since it is smaller than the sum of its proper divisors (68470054632).

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

41340409728 is a wasteful number, since it uses less digits than its factorization.

41340409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107657334 (or 107657322 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 41340409728 in words is "forty-one billion, three hundred forty million, four hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 107657317 215314634 322971951 430629268 645943902 861258536 1291887804 1722517072 2583775608 3445034144 5167551216 6890068288 10335102432 13780136576 20670204864 41340409728