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12141151140432 = 2431013676823877
BaseRepresentation
bin1011000010101101010100…
…0000000011101001010000
31120222200102200211222100110
42300223111000003221100
53042410034142443212
641453322352521320
72362112020632246
oct260532500035120
946880380758313
1012141151140432
113961040332876
121441052b50240
136a0ba08c9a62
142dd8c605c796
15160c44c2aa3c
hexb0ad5003a50

12141151140432 has 80 divisors (see below), whose sum is σ = 31761494491392. Its totient is φ = 3996061785600.

The previous prime is 12141151140431. The next prime is 12141151140509. The reversal of 12141151140432 is 23404115114121.

It is a self number, because there is not a number n which added to its sum of digits gives 12141151140432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141151140431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632723 + ... + 5191154.

Almost surely, 212141151140432 is an apocalyptic number.

12141151140432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12141151140432 is an abundant number, since it is smaller than the sum of its proper divisors (19620343350960).

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

12141151140432 is a wasteful number, since it uses less digits than its factorization.

12141151140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824356 (or 6824350 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 12141151140432 its reverse (23404115114121), we get a palindrome (35545266254553).

The spelling of 12141151140432 in words is "twelve trillion, one hundred forty-one billion, one hundred fifty-one million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 367 404 606 734 808 1101 1212 1468 1616 2202 2424 2936 4404 4848 5872 8808 17616 37067 74134 111201 148268 222402 296536 444804 593072 889608 1779216 6823877 13647754 20471631 27295508 40943262 54591016 81886524 109182032 163773048 327546096 689211577 1378423154 2067634731 2504362859 2756846308 4135269462 5008725718 5513692616 7513088577 8270538924 10017451436 11027385232 15026177154 16541077848 20034902872 30052354308 33082155696 40069805744 60104708616 120209417232 252940648759 505881297518 758821946277 1011762595036 1517643892554 2023525190072 3035287785108 4047050380144 6070575570216 12141151140432