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140431024123344 = 24321997976749999
BaseRepresentation
bin11111111011100010100101…
…010011101110110111010000
3200102020002000112011200002100
4133323202211103232313100
5121401310214133421334
61214401042153520400
741402543455631223
oct3773424523566720
9612202015150070
10140431024123344
11408225100a76a9
1213900581a13100
136048786649176
142696c7d9255ba
151137dee8a7c99
hex7fb8a54eedd0

140431024123344 has 120 divisors (see below), whose sum is σ = 393256749600000. Its totient is φ = 46781175078144.

The previous prime is 140431024123343. The next prime is 140431024123349. The reversal of 140431024123344 is 443321420134041.

140431024123344 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 310 + 2 + 4 + 1 + 2 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140431024123299 and 140431024123308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140431024123343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808651657 + ... + 2808701655.

It is an arithmetic number, because the mean of its divisors is an integer number (3277139580000).

Almost surely, 2140431024123344 is an apocalyptic number.

It is an amenable number.

140431024123344 is an abundant number, since it is smaller than the sum of its proper divisors (252825725476656).

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

140431024123344 is a wasteful number, since it uses less digits than its factorization.

140431024123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61777 (or 61768 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140431024123344 its reverse (443321420134041), we get a palindrome (583752444257385).

The spelling of 140431024123344 in words is "one hundred forty trillion, four hundred thirty-one billion, twenty-four million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1997 3994 5991 7988 9767 11982 15976 17973 19534 23964 29301 31952 35946 39068 47928 49999 58602 71892 78136 87903 95856 99998 117204 143784 149997 156272 175806 199996 234408 287568 299994 351612 399992 449991 468816 599988 703224 799984 899982 1199976 1406448 1799964 2399952 3599928 7199856 19504699 39009398 58514097 78018796 99848003 117028194 156037592 175542291 199696006 234056388 299544009 312075184 351084582 399392012 468112776 488340233 599088018 702169164 798784024 898632027 936225552 976680466 1198176036 1404338328 1465020699 1597568048 1797264054 1953360932 2396352072 2808676656 2930041398 3594528108 3906721864 4395062097 4792704144 5860082796 7189056216 7813443728 8790124194 11720165592 14378112432 17580248388 23440331184 35160496776 70320993552 975215445301 1950430890602 2925646335903 3900861781204 5851292671806 7801723562408 8776939007709 11702585343612 15603447124816 17553878015418 23405170687224 35107756030836 46810341374448 70215512061672 140431024123344