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315503031400 = 235243223164513
BaseRepresentation
bin1001001011101010111…
…00100011010001101000
31010011100221121121210021
410211311130203101220
520132122234001100
6400535020530224
731536313342534
oct4456534432150
91104327547707
10315503031400
11111893266247
12511913b0974
13239a095177b
14113b00aabc4
158318739a1a
hex4975723468

315503031400 has 96 divisors (see below), whose sum is σ = 753974242560. Its totient is φ = 122712791040.

The previous prime is 315503031391. The next prime is 315503031427. The reversal of 315503031400 is 4130305513.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1835544 + ... + 2000056.

It is an arithmetic number, because the mean of its divisors is an integer number (7853898360).

Almost surely, 2315503031400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315503031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376987121280).

315503031400 is an abundant number, since it is smaller than the sum of its proper divisors (438471211160).

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

315503031400 is a wasteful number, since it uses less digits than its factorization.

315503031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164795 (or 164786 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 315503031400 its reverse (4130305513), we get a palindrome (319633336913).

The spelling of 315503031400 in words is "three hundred fifteen billion, five hundred three million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 223 344 430 446 860 892 1075 1115 1720 1784 2150 2230 4300 4460 5575 8600 8920 9589 11150 19178 22300 38356 44600 47945 76712 95890 164513 191780 239725 329026 383560 479450 658052 822565 958900 1316104 1645130 1917800 3290260 4112825 6580520 7074059 8225650 14148118 16451300 28296236 32902600 35370295 36686399 56592472 70740590 73372798 141481180 146745596 176851475 183431995 282962360 293491192 353702950 366863990 707405900 733727980 917159975 1414811800 1467455960 1577515157 1834319950 3155030314 3668639900 6310060628 7337279800 7887575785 12620121256 15775151570 31550303140 39437878925 63100606280 78875757850 157751515700 315503031400