Search a number
-
+
315242454204 = 223319428335869
BaseRepresentation
bin1001001011001011110…
…10100001110010111100
31010010200210021221002000
410211211322201302330
520131104032013304
6400453111502300
731530000435336
oct4454572416274
91103623257060
10315242454204
1111176a168797
125111a087990
132395b977892
141138763a456
158300916939
hex4965ea1cbc

315242454204 has 96 divisors (see below), whose sum is σ = 860535648000. Its totient is φ = 99524230848.

The previous prime is 315242454199. The next prime is 315242454221. The reversal of 315242454204 is 402454242513.

315242454204 is a `hidden beast` number, since 3 + 152 + 42 + 45 + 420 + 4 = 666.

It is a super-2 number, since 2×3152424542042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8770782 + ... + 8806650.

It is an arithmetic number, because the mean of its divisors is an integer number (8963913000).

Almost surely, 2315242454204 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 315242454204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430267824000).

315242454204 is an abundant number, since it is smaller than the sum of its proper divisors (545293193796).

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

315242454204 is a wasteful number, since it uses less digits than its factorization.

315242454204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40184 (or 40176 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 315242454204 its reverse (402454242513), we get a palindrome (717696696717).

The spelling of 315242454204 in words is "three hundred fifteen billion, two hundred forty-two million, four hundred fifty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 4283 8566 12849 17132 25698 35869 38547 51396 71738 77094 81377 107607 115641 143476 154188 162754 215214 231282 244131 322821 325508 430428 462564 488262 645642 681511 732393 968463 976524 1291284 1363022 1464786 1936926 2044533 2197179 2726044 2929572 3873852 4089066 4394358 6133599 8178132 8788716 12267198 18400797 24534396 36801594 73603188 153626927 307253854 460880781 614507708 921761562 1382642343 1843523124 2765284686 2918911613 4147927029 5530569372 5837823226 8295854058 8756734839 11675646452 16591708116 17513469678 26270204517 35026939356 52540409034 78810613551 105080818068 157621227102 315242454204