Search a number
-
+
150405908840 = 23511247661183
BaseRepresentation
bin1000110000010011100…
…1000000100101101000
3112101020001020211010022
42030010321000211220
54431012403040330
6153032344340012
713603125062645
oct2140471004550
9471201224108
10150405908840
115887223a500
1225196774608
131124c6ac3c5
1473cb652dcc
153da455dae5
hex2304e40968

150405908840 has 96 divisors (see below), whose sum is σ = 379889879040. Its totient is φ = 53529294720.

The previous prime is 150405908839. The next prime is 150405908867. The reversal of 150405908840 is 48809504051.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 150405908791 and 150405908800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103112 + ... + 558071.

It is an arithmetic number, because the mean of its divisors is an integer number (3957186240).

Almost surely, 2150405908840 is an apocalyptic number.

150405908840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150405908840 is an abundant number, since it is smaller than the sum of its proper divisors (229483970200).

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

150405908840 is a wasteful number, since it uses less digits than its factorization.

150405908840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661263 (or 661248 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 150405908840 in words is "one hundred fifty billion, four hundred five million, nine hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 121 188 220 235 242 376 440 470 484 517 605 940 968 1034 1210 1880 2068 2420 2585 4136 4840 5170 5687 10340 11374 20680 22748 28435 45496 56870 113740 227480 661183 1322366 2644732 3305915 5289464 6611830 7273013 13223660 14546026 26447320 29092052 31075601 36365065 58184104 62151202 72730130 80003143 124302404 145460260 155378005 160006286 248604808 290920520 310756010 320012572 341831611 400015715 621512020 640025144 683663222 800031430 1243024040 1367326444 1600062860 1709158055 2734652888 3200125720 3418316110 3760147721 6836632220 7520295442 13673264440 15040590884 18800738605 30081181768 37601477210 75202954420 150405908840