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41307816420 = 223251317652913
BaseRepresentation
bin100110011110001000…
…110100000111100100
310221121210221111100200
4212132020310013210
51134044300111140
630550533510500
72661434434443
oct463610640744
9127553844320
1041307816420
1116578204962
128009aa2430
133b83cc6230
141ddc164d5a
15111b71d030
hex99e2341e4

41307816420 has 72 divisors (see below), whose sum is σ = 134938874616. Its totient is φ = 10168077312.

The previous prime is 41307816409. The next prime is 41307816443. The reversal of 41307816420 is 2461870314.

41307816420 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 7 + 8 + 1 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7457704164 + 33850112256 = 86358^2 + 183984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8824117 + ... + 8828796.

Almost surely, 241307816420 is an apocalyptic number.

It is an amenable number.

41307816420 is an abundant number, since it is smaller than the sum of its proper divisors (93631058196).

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

41307816420 is a wasteful number, since it uses less digits than its factorization.

41307816420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17652941 (or 17652936 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41307816420 in words is "forty-one billion, three hundred seven million, eight hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 17652913 35305826 52958739 70611652 88264565 105917478 158876217 176529130 211834956 229487869 264793695 317752434 353058260 458975738 529587390 635504868 688463607 794381085 917951476 1059174780 1147439345 1376927214 1588762170 2065390821 2294878690 2753854428 3177524340 3442318035 4130781642 4589757380 6884636070 8261563284 10326954105 13769272140 20653908210 41307816420