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431412150113109 = 331179160111484643
BaseRepresentation
bin110001000010111011111011…
…1111101011001001101010101
32002120111121011111112100221000
41202011313313331121031111
5423021224040412104414
64125312001124013513
7156604333152256104
oct14205676775311525
92076447144470830
10431412150113109
11115508957935830
1240476694231299
1315694cb6866bb9
147876660b3603b
1534d2047a8ab09
hex1885df7f59355

431412150113109 has 64 divisors (see below), whose sum is σ = 706498548019200. Its totient is φ = 257990997888000.

The previous prime is 431412150113099. The next prime is 431412150113117. The reversal of 431412150113109 is 901311051214134.

431412150113109 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 12 + 1 + 501 + 131 + 0 + 9 = 666.

It is not a de Polignac number, because 431412150113109 - 213 = 431412150104917 is a prime.

It is a super-2 number, since 2×4314121501131092 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431412150113179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31821942 + ... + 43306584.

It is an arithmetic number, because the mean of its divisors is an integer number (11039039812800).

Almost surely, 2431412150113109 is an apocalyptic number.

It is an amenable number.

431412150113109 is a deficient number, since it is larger than the sum of its proper divisors (275086397906091).

431412150113109 is a wasteful number, since it uses less digits than its factorization.

431412150113109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486343 (or 11486337 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 431412150113109 in words is "four hundred thirty-one trillion, four hundred twelve billion, one hundred fifty million, one hundred thirteen thousand, one hundred nine".

Divisors: 1 3 9 11 27 33 79 99 237 297 711 869 1601 2133 2607 4803 7821 14409 17611 23463 43227 52833 126479 158499 379437 475497 1138311 1391269 3414933 4173807 11484643 12521421 34453929 37564263 103361787 126331073 310085361 378993219 907286797 1136979657 2721860391 3410938971 8165581173 9980154767 18386913443 24496743519 29940464301 55160740329 89821392903 165482220987 202256047873 269464178709 496446662961 606768143619 1452566161997 1820304430857 4357698485991 5460913292571 13073095457973 15978227781967 39219286373919 47934683345901 143804050037703 431412150113109