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30115450440 = 23325387721577
BaseRepresentation
bin11100000011000001…
…010100111001001000
32212201210112101121100
4130003001110321020
5443134023403230
621500154341400
72114201051025
oct340301247110
985653471540
1030115450440
1111854428719
125a0572a860
132abc28827a
1416598dc54c
15bb3d31660
hex703054e48

30115450440 has 96 divisors (see below), whose sum is σ = 97904996280. Its totient is φ = 8028343296.

The previous prime is 30115450399. The next prime is 30115450451. The reversal of 30115450440 is 4405451103.

It is a happy number.

30115450440 is a `hidden beast` number, since 3 + 0 + 1 + 154 + 504 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25589121156 + 4526329284 = 159966^2 + 67278^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384932 + ... + 1406508.

Almost surely, 230115450440 is an apocalyptic number.

30115450440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30115450440 is an abundant number, since it is smaller than the sum of its proper divisors (67789545840).

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

30115450440 is a wasteful number, since it uses less digits than its factorization.

30115450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25471 (or 25464 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 30115450440 in words is "thirty billion, one hundred fifteen million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3877 7754 11631 15508 19385 21577 23262 31016 34893 38770 43154 46524 58155 64731 69786 77540 86308 93048 107885 116310 129462 139572 155080 172616 174465 194193 215770 232620 258924 279144 323655 348930 388386 431540 465240 517848 647310 697860 776772 863080 970965 1294620 1395720 1553544 1941930 2589240 3883860 7767720 83654029 167308058 250962087 334616116 418270145 501924174 669232232 752886261 836540290 1003848348 1254810435 1505772522 1673080580 2007696696 2509620870 3011545044 3346161160 3764431305 5019241740 6023090088 7528862610 10038483480 15057725220 30115450440