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315146447460 = 2232513134677969
BaseRepresentation
bin1001001011000000011…
…00010010101001100100
31010010110002122021120200
410211200030102221210
520130404442304320
6400435402030500
731524423414315
oct4454014225144
91103402567520
10315146447460
1111171aa54479
12510b1aa8430
1323944b01860
14113789a860c
1582e72a0290
hex4960312a64

315146447460 has 72 divisors (see below), whose sum is σ = 1029478402680. Its totient is φ = 77574509568.

The previous prime is 315146447437. The next prime is 315146447471. The reversal of 315146447460 is 64744641513.

315146447460 is a `hidden beast` number, since 3 + 1 + 5 + 146 + 4 + 47 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28199813184 + 286946634276 = 167928^2 + 535674^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 67336645 + ... + 67341324.

Almost surely, 2315146447460 is an apocalyptic number.

315146447460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315146447460 is an abundant number, since it is smaller than the sum of its proper divisors (714331955220).

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

315146447460 is a wasteful number, since it uses less digits than its factorization.

315146447460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134677997 (or 134677992 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 315146447460 in words is "three hundred fifteen billion, one hundred forty-six million, four hundred forty-seven thousand, four hundred sixty".

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 134677969 269355938 404033907 538711876 673389845 808067814 1212101721 1346779690 1616135628 1750813597 2020169535 2424203442 2693559380 3501627194 4040339070 4848406884 5252440791 6060508605 7003254388 8080678140 8754067985 10504881582 12121017210 15757322373 17508135970 21009763164 24242034420 26262203955 31514644746 35016271940 52524407910 63029289492 78786611865 105048815820 157573223730 315146447460