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315511552012140 = 2232511159349268693
BaseRepresentation
bin100011110111101001100000…
…1111110101110111101101100
31112101010121110112122200212200
41013233103001332232331230
5312323320124303342030
63035012001144501500
7123312646246223661
oct10757230176567554
91471117415580780
10315511552012140
1191593774818170
122b47830447a890
13107087c4b62cb3
1457cabaa855a68
1526722a5d84d60
hex11ef4c1faef6c

315511552012140 has 72 divisors (see below), whose sum is σ = 1044056408483088. Its totient is φ = 76487648972160.

The previous prime is 315511552012103. The next prime is 315511552012171. The reversal of 315511552012140 is 41210255115513.

315511552012140 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 1 + 1 + 5 + 520 + 121 + 4 + 0 = 666.

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 = 315511552012095 and 315511552012104.

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, 79674632367 + ... + 79674636326.

It is an arithmetic number, because the mean of its divisors is an integer number (14500783451154).

Almost surely, 2315511552012140 is an apocalyptic number.

315511552012140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315511552012140 is an abundant number, since it is smaller than the sum of its proper divisors (728544856470948).

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

315511552012140 is a wasteful number, since it uses less digits than its factorization.

315511552012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159349268719 (or 159349268714 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 315511552012140 in words is "three hundred fifteen trillion, five hundred eleven billion, five hundred fifty-two million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 159349268693 318698537386 478047806079 637397074772 796746343465 956095612158 1434143418237 1593492686930 1752841955623 1912191224316 2390239030395 2868286836474 3186985373860 3505683911246 4780478060790 5258525866869 5736573672948 7011367822492 7170717091185 8764209778115 9560956121580 10517051733738 14341434182370 15775577600607 17528419556230 21034103467476 26292629334345 28682868364740 31551155201214 35056839112460 52585258668690 63102310402428 78877888003035 105170517337380 157755776006070 315511552012140