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1451330656332 = 2232313155017297
BaseRepresentation
bin10101000111101010000…
…011000101100001001100
312010202010201200022102120
4111013222003011201030
5142234311122000312
63030422044452540
7206566220014224
oct25075203054114
95122121608376
101451330656332
1150a562357117
121b533b84a150
13a6b242564bb
145035d95b084
1527b4474d28c
hex151ea0c584c

1451330656332 has 96 divisors (see below), whose sum is σ = 3561784579584. Its totient is φ = 459064320000.

The previous prime is 1451330656327. The next prime is 1451330656379. The reversal of 1451330656332 is 2336560331541.

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 31 ways as a sum of consecutive naturals, for example, 198890508 + ... + 198897804.

It is an arithmetic number, because the mean of its divisors is an integer number (37101922704).

Almost surely, 21451330656332 is an apocalyptic number.

1451330656332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451330656332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780892289792).

1451330656332 is an abundant number, since it is smaller than the sum of its proper divisors (2110453923252).

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

1451330656332 is a wasteful number, since it uses less digits than its factorization.

1451330656332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 1451330656332 its reverse (2336560331541), we get a palindrome (3787890987873).

The spelling of 1451330656332 in words is "one trillion, four hundred fifty-one billion, three hundred thirty million, six hundred fifty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 131 138 262 276 393 524 786 1572 3013 5501 6026 7297 9039 11002 12052 14594 16503 18078 21891 22004 29188 33006 36156 43782 66012 87564 126523 167831 253046 335662 379569 503493 506092 671324 720631 759138 955907 1006986 1441262 1518276 1911814 2013972 2161893 2867721 2882524 3823628 4323786 5735442 8647572 11470884 16574513 21985861 33149026 40140797 43971722 49723539 65957583 66298052 80281594 87943444 99447078 120422391 131915166 160563188 198894156 240844782 263830332 481689564 923238331 1846476662 2769714993 3692953324 5258444407 5539429986 10516888814 11078859972 15775333221 21033777628 31550666442 63101332884 120944221361 241888442722 362832664083 483776885444 725665328166 1451330656332