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315252141312 = 2831932126863
BaseRepresentation
bin1001001011001100111…
…11011110110100000000
31010010201110112002021210
410211212133132310000
520131114022010222
6400454055250120
731530145662543
oct4454637366400
91103643462253
10315252141312
11111774684869
1251121379940
1323960989bb4
1411388a3c85a
1583016cbd0c
hex49667ded00

315252141312 has 72 divisors (see below), whose sum is σ = 843378143104. Its totient is φ = 104539521024.

The previous prime is 315252141301. The next prime is 315252141329. The reversal of 315252141312 is 213141252513.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 315252141312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915208 + ... + 1211655.

Almost surely, 2315252141312 is an apocalyptic number.

315252141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315252141312 is an abundant number, since it is smaller than the sum of its proper divisors (528126001792).

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

315252141312 is a wasteful number, since it uses less digits than its factorization.

315252141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127075 (or 2127061 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 315252141312 its reverse (213141252513), we get a palindrome (528393393825).

The spelling of 315252141312 in words is "three hundred fifteen billion, two hundred fifty-two million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 37056 49408 74112 148224 2126863 4253726 6380589 8507452 12761178 17014904 25522356 34029808 51044712 68059616 102089424 136119232 204178848 272238464 408357696 410484559 544476928 816715392 820969118 1231453677 1633430784 1641938236 2462907354 3283876472 4925814708 6567752944 9851629416 13135505888 19703258832 26271011776 39406517664 52542023552 78813035328 105084047104 157626070656 315252141312