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133362680040 = 2334541161321
BaseRepresentation
bin111110000110100001…
…0010000000011101000
3110202020021102002110000
41330031002100003220
54141111321230130
6141133241023000
712430565035152
oct1741502200350
9422207362400
10133362680040
1151616835447
1221a1aa84a60
13c764761935
146651d1dad2
153708198260
hex1f0d0900e8

133362680040 has 80 divisors (see below), whose sum is σ = 448246796580. Its totient is φ = 35563380480.

The previous prime is 133362680029. The next prime is 133362680051. The reversal of 133362680040 is 40086263331.

It is an interprime number because it is at equal distance from previous prime (133362680029) and next prime (133362680051).

It can be written as a sum of positive squares in 2 ways, for example, as 108991099044 + 24371580996 = 330138^2 + 156114^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 133362679977 and 133362680004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20577421 + ... + 20583900.

Almost surely, 2133362680040 is an apocalyptic number.

133362680040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133362680040 is an abundant number, since it is smaller than the sum of its proper divisors (314884116540).

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

133362680040 is a wasteful number, since it uses less digits than its factorization.

133362680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41161344 (or 41161331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 133362680040 in words is "one hundred thirty-three billion, three hundred sixty-two million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 41161321 82322642 123483963 164645284 205806605 246967926 329290568 370451889 411613210 493935852 617419815 740903778 823226420 987871704 1111355667 1234839630 1481807556 1646452840 1852259445 2222711334 2469679260 2963615112 3334067001 3704518890 4445422668 4939358520 5556778335 6668134002 7409037780 8890845336 11113556670 13336268004 14818075560 16670335005 22227113340 26672536008 33340670010 44454226680 66681340020 133362680040