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315434996496 = 2434156012
BaseRepresentation
bin1001001011100010110…
…01000001001100010000
31010011012012121002110000
410211301121001030100
520132002324341441
6400524150410000
731534526142204
oct4456131011420
91104165532400
10315434996496
11111858917654
1251172660900
132398c820529
14113a503ab04
15831279b2b6
hex4971641310

315434996496 has 75 divisors (see below), whose sum is σ = 913018918053. Its totient is φ = 105138259200.

The previous prime is 315434996491. The next prime is 315434996501. The reversal of 315434996496 is 694699434513.

The square root of 315434996496 is 561636.

It is a perfect power (a square), and thus also a powerful number.

315434996496 is a `hidden beast` number, since 3 + 1 + 54 + 3 + 4 + 9 + 96 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (315434996491) and next prime (315434996501).

It can be written as a sum of positive squares in only one way, i.e., 297500430096 + 17934566400 = 545436^2 + 133920^2 .

It is not an unprimeable number, because it can be changed into a prime (315434996491) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20211096 + ... + 20226696.

Almost surely, 2315434996496 is an apocalyptic number.

315434996496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315434996496 is the 561636-th square number.

It is an amenable number.

315434996496 is an abundant number, since it is smaller than the sum of its proper divisors (597583921557).

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

315434996496 is an frugal number, since it uses more digits than its factorization.

315434996496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31222 (or 15606 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 315434996496 in words is "three hundred fifteen billion, four hundred thirty-four million, nine hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15601 31202 46803 62404 93606 124808 140409 187212 249616 280818 374424 421227 561636 748848 842454 1123272 1263681 1684908 2246544 2527362 3369816 5054724 6739632 10109448 20218896 243391201 486782402 730173603 973564804 1460347206 1947129608 2190520809 2920694412 3894259216 4381041618 5841388824 6571562427 8762083236 11682777648 13143124854 17524166472 19714687281 26286249708 35048332944 39429374562 52572499416 78858749124 105144998832 157717498248 315434996496