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12291420191424 = 2631129527197101
BaseRepresentation
bin1011001011011101000110…
…1110111111101011000000
31121112001022012120200210120
42302313101232333223000
53102340312032111144
642050333412100240
72406011564532603
oct262672156775300
947461265520716
1012291420191424
113a09842296a10
1214661ab904680
136b20cab2c08a
14306c9d44833a
15164adc253e19
hexb2dd1bbfac0

12291420191424 has 112 divisors (see below), whose sum is σ = 35478889810176. Its totient is φ = 3724527744000.

The previous prime is 12291420191389. The next prime is 12291420191473. The reversal of 12291420191424 is 42419102419221.

It is a happy number.

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, 62262474 + ... + 62459574.

Almost surely, 212291420191424 is an apocalyptic number.

It is an amenable number.

12291420191424 is an abundant number, since it is smaller than the sum of its proper divisors (23187469618752).

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

12291420191424 is a wasteful number, since it uses less digits than its factorization.

12291420191424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226654 (or 226644 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 12291420191424 in words is "twelve trillion, two hundred ninety-one billion, four hundred twenty million, one hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 29527 59054 88581 118108 177162 197101 236216 324797 354324 394202 472432 591303 649594 708648 788404 944864 974391 1182606 1299188 1417296 1576808 1889728 1948782 2168111 2365212 2598376 2834592 3153616 3897564 4336222 4730424 5196752 5669184 6307232 6504333 7795128 8672444 9460848 10393504 12614464 13008666 15590256 17344888 18921696 20787008 26017332 31180512 34689776 37843392 52034664 62361024 69379552 104069328 138759104 208138656 416277312 5819801227 11639602454 17459403681 23279204908 34918807362 46558409816 64017813497 69837614724 93116819632 128035626994 139675229448 186233639264 192053440491 256071253988 279350458896 372467278528 384106880982 512142507976 558700917792 768213761964 1024285015952 1117401835584 1536427523928 2048570031904 3072855047856 4097140063808 6145710095712 12291420191424