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102443212401456 = 243127281379315767
BaseRepresentation
bin10111010010101111101011…
…010010001110101100110000
3111102201110211121111012002210
4113102233223102032230300
5101411412144333321311
61001513432335412120
730402164205663123
oct2722575322165460
9442643747435083
10102443212401456
112a706a16791133
12b5a6220684040
13452147978c364
141b423c69283ba
15bc9bb2bca3a6
hex5d2beb48eb30

102443212401456 has 160 divisors (see below), whose sum is σ = 267765549907968. Its totient is φ = 33747251650560.

The previous prime is 102443212401449. The next prime is 102443212401469. The reversal of 102443212401456 is 654104212344201.

It is a super-2 number, since 2×1024432124014562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6497310085 + ... + 6497325851.

Almost surely, 2102443212401456 is an apocalyptic number.

102443212401456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102443212401456 is an abundant number, since it is smaller than the sum of its proper divisors (165322337506512).

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

102443212401456 is a wasteful number, since it uses less digits than its factorization.

102443212401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19979 (or 19973 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 102443212401456 its reverse (654104212344201), we get a palindrome (756547424745657).

The spelling of 102443212401456 in words is "one hundred two trillion, four hundred forty-three billion, two hundred twelve million, four hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 281 381 508 562 762 843 1016 1124 1524 1686 2032 2248 3048 3372 3793 4496 6096 6744 7586 11379 13488 15172 15767 22758 30344 31534 35687 45516 47301 60688 63068 71374 91032 94602 107061 126136 142748 182064 189204 214122 252272 285496 378408 428244 481711 570992 756816 856488 963422 1065833 1445133 1712976 1926844 2002409 2131666 2890266 3197499 3853688 4004818 4263332 4430527 5780532 6007227 6394998 7707376 8009636 8526664 8861054 11561064 12014454 12789996 13291581 16019272 17053328 17722108 23122128 24028908 25579992 26583162 32038544 35444216 48057816 51159984 53166324 59804231 70888432 96115632 106332648 119608462 135360791 179412693 212665296 239216924 270721582 358825386 406082373 478433848 541443164 562676929 717650772 812164746 956867696 1082886328 1125353858 1435301544 1624329492 1688030787 2165772656 2250707716 2870603088 3248658984 3376061574 4501415432 6497317968 6752123148 7595137337 9002830864 13504246296 15190274674 16804988911 22785412011 27008492592 30380549348 33609977822 45570824022 50414966733 60761098696 67219955644 91141648044 100829933466 121522197392 134439911288 182283296088 201659866932 268879822576 364566592176 403319733864 806639467728 2134233591697 4268467183394 6402700775091 8536934366788 12805401550182 17073868733576 25610803100364 34147737467152 51221606200728 102443212401456