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40151144304765 = 3451371107409131
BaseRepresentation
bin10010010000100011010101…
…01100011001000001111101
312021011102010021121020020000
421020101222230121001331
520230314020420223030
6221221103035144513
711312552533325334
oct1110215254310175
9167142107536200
1040151144304765
111188000624933a
124605688ba5139
13195330cc3a920
149cb47bc1cd1b
15499653ed4860
hex24846ab1907d

40151144304765 has 80 divisors (see below), whose sum is σ = 78602862070656. Its totient is φ = 19488312547200.

The previous prime is 40151144304743. The next prime is 40151144304769. The reversal of 40151144304765 is 56740344115104.

40151144304765 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 1 + 144 + 30 + 476 + 5 = 666.

It is not a de Polignac number, because 40151144304765 - 231 = 40148996821117 is a prime.

It is a super-2 number, since 2×401511443047652 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40151144304765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40151144304769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53330751 + ... + 54078380.

Almost surely, 240151144304765 is an apocalyptic number.

40151144304765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40151144304765 is a deficient number, since it is larger than the sum of its proper divisors (38451717765891).

40151144304765 is a wasteful number, since it uses less digits than its factorization.

40151144304765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107409232 (or 107409223 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 40151144304765 its reverse (56740344115104), we get a palindrome (96891488419869).

The spelling of 40151144304765 in words is "forty trillion, one hundred fifty-one billion, one hundred forty-four million, three hundred four thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 71 81 117 135 195 213 351 355 405 585 639 923 1053 1065 1755 1917 2769 3195 4615 5265 5751 8307 9585 13845 24921 28755 41535 74763 124605 373815 107409131 322227393 537045655 966682179 1396318703 1611136965 2900046537 4188956109 4833410895 6981593515 7626048301 8700139611 12566868327 14500232685 20944780545 22878144903 37700604981 38130241505 43500698055 62834341635 68634434709 99138627913 113101814943 114390724515 188503024905 205903304127 297415883739 343172173545 495693139565 565509074715 617709912381 892247651217 1029516520635 1487079418695 2676742953651 3088549561905 4461238256085 8030228860953 13383714768255 40151144304765