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315152144120 = 235112939243707
BaseRepresentation
bin1001001011000001000…
…10000001011011111000
31010010110111100200221002
410211200202001123320
520130412422102440
6400440124104132
731524523011542
oct4454042013370
91103414320832
10315152144120
11111723195460
12510b3995048
1323946047768
141137964c692
1582e7a28115
hex49608816f8

315152144120 has 64 divisors (see below), whose sum is σ = 773821641600. Its totient is φ = 114561316480.

The previous prime is 315152144117. The next prime is 315152144149. The reversal of 315152144120 is 21441251513.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171307 + ... + 1415013.

It is an arithmetic number, because the mean of its divisors is an integer number (12090963150).

Almost surely, 2315152144120 is an apocalyptic number.

It is an amenable number.

315152144120 is an abundant number, since it is smaller than the sum of its proper divisors (458669497480).

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

315152144120 is a wasteful number, since it uses less digits than its factorization.

315152144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246668 (or 246664 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 315152144120 its reverse (21441251513), we get a palindrome (336593395633).

The spelling of 315152144120 in words is "three hundred fifteen billion, one hundred fifty-two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2939 5878 11756 14695 23512 29390 32329 58780 64658 117560 129316 161645 243707 258632 323290 487414 646580 974828 1218535 1293160 1949656 2437070 2680777 4874140 5361554 9748280 10723108 13403885 21446216 26807770 53615540 107231080 716254873 1432509746 2865019492 3581274365 5730038984 7162548730 7878803603 14325097460 15757607206 28650194920 31515214412 39394018015 63030428824 78788036030 157576072060 315152144120