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23144006412 = 22323161933503
BaseRepresentation
bin10101100011011111…
…011000001100001100
32012201221112100020200
4111203133120030030
5334344331201122
614344320213500
71446346544232
oct254337301414
965657470220
1023144006412
1198a720862a
12459aa6a290
13224ab6cc67
141197a96952
15906ca85ac
hex5637d830c

23144006412 has 72 divisors (see below), whose sum is σ = 60489461760. Its totient is φ = 7453524960.

The previous prime is 23144006411. The next prime is 23144006441. The reversal of 23144006412 is 21460044132.

It is a happy number.

23144006412 is a `hidden beast` number, since 2 + 3 + 14 + 4 + 0 + 0 + 641 + 2 = 666.

It is a super-2 number, since 2×231440064122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23144006411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 674053 + ... + 707555.

Almost surely, 223144006412 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 23144006412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30244730880).

23144006412 is an abundant number, since it is smaller than the sum of its proper divisors (37345455348).

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

23144006412 is a wasteful number, since it uses less digits than its factorization.

23144006412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34163 (or 34158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 23144006412 in words is "twenty-three billion, one hundred forty-four million, six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 619 1116 1238 1857 2476 3714 5571 7428 11142 19189 22284 33503 38378 57567 67006 76756 100509 115134 134012 172701 201018 230268 301527 345402 402036 603054 690804 1038593 1206108 2077186 3115779 4154372 6231558 9347337 12463116 18694674 20738357 37389348 41476714 62215071 82953428 124430142 186645213 248860284 373290426 642889067 746580852 1285778134 1928667201 2571556268 3857334402 5786001603 7714668804 11572003206 23144006412