Search a number
-
+
331152513040 = 24537727153887
BaseRepresentation
bin1001101000110100011…
…10100101100000010000
31011122202120212122210101
410310122032211200100
520411200020404130
6412043535342144
732632160626456
oct4643216454020
91148676778711
10331152513040
11118493a62448
125421a381954
13252c5bcc88b
14120566789d6
1589325931ca
hex4d1a3a5810

331152513040 has 80 divisors (see below), whose sum is σ = 791831319552. Its totient is φ = 128702863872.

The previous prime is 331152513037. The next prime is 331152513071. The reversal of 331152513040 is 40315251133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074977 + ... + 2228863.

Almost surely, 2331152513040 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 331152513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395915659776).

331152513040 is an abundant number, since it is smaller than the sum of its proper divisors (460678806512).

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

331152513040 is a wasteful number, since it uses less digits than its factorization.

331152513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154664 (or 154658 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 331152513040 its reverse (40315251133), we get a palindrome (371467764173).

The spelling of 331152513040 in words is "three hundred thirty-one billion, one hundred fifty-two million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 727 740 1454 1480 2908 2960 3635 5816 7270 11632 14540 26899 29080 53798 58160 107596 134495 153887 215192 268990 307774 430384 537980 615548 769435 1075960 1231096 1538870 2151920 2462192 3077740 5693819 6155480 11387638 12310960 22775276 28469095 45550552 56938190 91101104 111875849 113876380 223751698 227752760 447503396 455505520 559379245 895006792 1118758490 1790013584 2237516980 4139406413 4475033960 8278812826 8950067920 16557625652 20697032065 33115251304 41394064130 66230502608 82788128260 165576256520 331152513040