Search a number
-
+
115404450624 = 263436316131
BaseRepresentation
bin110101101111010100…
…1000010101101000000
3102000212201211111220000
41223132221002231000
53342322014404444
6125003245520000
711223554434161
oct1533651025500
9360781744800
10115404450624
1144a40892931
121a448873000
13ab62097a98
14582ac87768
1530067e1469
hex1adea42b40

115404450624 has 140 divisors (see below), whose sum is σ = 342244972608. Its totient is φ = 38451283200.

The previous prime is 115404450613. The next prime is 115404450641. The reversal of 115404450624 is 426054404511.

115404450624 is a `hidden beast` number, since 1 + 1 + 540 + 4 + 4 + 50 + 62 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18820039 + ... + 18826169.

Almost surely, 2115404450624 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 115404450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171122486304).

115404450624 is an abundant number, since it is smaller than the sum of its proper divisors (226840521984).

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

115404450624 is an equidigital number, since it uses as much as digits as its factorization.

115404450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 115404450624 in words is "one hundred fifteen billion, four hundred four million, four hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3631 5184 6131 7262 10893 12262 14524 18393 21786 24524 29048 32679 36786 43572 49048 55179 58096 65358 73572 87144 98037 98096 110358 116192 130716 147144 165537 174288 196074 196192 220716 232384 261432 294111 294288 331074 348576 392148 392384 441432 496611 522864 588222 588576 662148 697152 784296 882864 993222 1045728 1176444 1177152 1324296 1568592 1765728 1986444 2091456 2352888 2648592 3137184 3531456 3972888 4705776 5297184 6274368 7945776 9411552 10594368 15891552 18823104 22261661 31783104 44523322 66784983 89046644 133569966 178093288 200354949 267139932 356186576 400709898 534279864 601064847 712373152 801419796 1068559728 1202129694 1424746304 1602839592 1803194541 2137119456 2404259388 3205679184 3606389082 4274238912 4808518776 6411358368 7212778164 9617037552 12822716736 14425556328 19234075104 28851112656 38468150208 57702225312 115404450624