Search a number
-
+
315240083525 = 52174176123773
BaseRepresentation
bin1001001011001011100…
…01011111000001000101
31010010200121211111010002
410211211301133001011
520131102430133100
6400452545011045
731526641332623
oct4454561370105
91103617744102
10315240083525
11111768899654
1251119323a85
132395b327803
14113871c0513
1583005e92d5
hex4965c5f045

315240083525 has 48 divisors (see below), whose sum is σ = 424561607568. Its totient is φ = 231254016000.

The previous prime is 315240083467. The next prime is 315240083531. The reversal of 315240083525 is 525380042513.

It can be written as a sum of positive squares in 24 ways, for example, as 315233962849 + 6120676 = 561457^2 + 2474^2 .

It is not a de Polignac number, because 315240083525 - 28 = 315240083269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13248539 + ... + 13272311.

It is an arithmetic number, because the mean of its divisors is an integer number (8845033491).

Almost surely, 2315240083525 is an apocalyptic number.

It is an amenable number.

315240083525 is a deficient number, since it is larger than the sum of its proper divisors (109321524043).

315240083525 is a wasteful number, since it uses less digits than its factorization.

315240083525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24602 (or 24597 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 315240083525 in words is "three hundred fifteen billion, two hundred forty million, eighty-three thousand, five hundred twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 761 1025 3485 3805 12937 17425 19025 23773 31201 64685 118865 156005 323425 404141 530417 594325 780025 974693 2020705 2652085 4873465 10103525 13260425 16569781 18091253 24367325 82848905 90456265 307551301 414244525 452281325 741741373 1537756505 3708706865 7688782525 12609603341 18543534325 63048016705 315240083525