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41009327680 = 265142989681
BaseRepresentation
bin100110001100010110…
…001010111001000000
310220212000021200210011
4212030112022321000
51132441341441210
630501152114304
72651151351046
oct461426127100
9126760250704
1041009327680
1116434772952
127b45b35994
133b37207289
141db0666396
15110040bd8a
hex98c58ae40

41009327680 has 56 divisors (see below), whose sum is σ = 97722888120. Its totient is φ = 16392069120.

The previous prime is 41009327669. The next prime is 41009327729. The reversal of 41009327680 is 8672390014.

It can be written as a sum of positive squares in 4 ways, for example, as 691900416 + 40317427264 = 26304^2 + 200792^2 .

It is a super-2 number, since 2×410093276802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412440 + ... + 502120.

Almost surely, 241009327680 is an apocalyptic number.

41009327680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41009327680 is an abundant number, since it is smaller than the sum of its proper divisors (56713560440).

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

41009327680 is a wasteful number, since it uses less digits than its factorization.

41009327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91127 (or 91117 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 41009327680 in words is "forty-one billion, nine million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1429 2858 5716 7145 11432 14290 22864 28580 45728 57160 89681 91456 114320 179362 228640 358724 448405 457280 717448 896810 1434896 1793620 2869792 3587240 5739584 7174480 14348960 28697920 128154149 256308298 512616596 640770745 1025233192 1281541490 2050466384 2563082980 4100932768 5126165960 8201865536 10252331920 20504663840 41009327680