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41271131328 = 263730707687
BaseRepresentation
bin100110011011111100…
…110111110011000000
310221112020220200212120
4212123330313303000
51134010402200303
630543143324240
72660510554020
oct463374676300
9127466820776
1041271131328
11165595288a9
127bb9750680
133b7952048b
141dd7335a80
1511183c3553
hex99bf37cc0

41271131328 has 56 divisors (see below), whose sum is σ = 124796044032. Its totient is φ = 11791751424.

The previous prime is 41271131287. The next prime is 41271131329. The reversal of 41271131328 is 82313117214.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (41271131329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15352500 + ... + 15355187.

Almost surely, 241271131328 is an apocalyptic number.

41271131328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41271131328 is an abundant number, since it is smaller than the sum of its proper divisors (83524912704).

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

41271131328 is a wasteful number, since it uses less digits than its factorization.

41271131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30707709 (or 30707699 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The spelling of 41271131328 in words is "forty-one billion, two hundred seventy-one million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 30707687 61415374 92123061 122830748 184246122 214953809 245661496 368492244 429907618 491322992 644861427 736984488 859815236 982645984 1289722854 1473968976 1719630472 1965291968 2579445708 2947937952 3439260944 5158891416 5895875904 6878521888 10317782832 13757043776 20635565664 41271131328