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4155041105145 = 3257193591933823
BaseRepresentation
bin111100011101101011101…
…111111100010011111001
3112201012212221212220000200
4330131223233330103321
51021034011010331040
612500444410552413
7606122535441660
oct74355357742371
915635787786020
104155041105145
111362163422717
12571336a38709
13241a84899338
14105168411dd7
1573137410630
hex3c76bbfc4f9

4155041105145 has 96 divisors (see below), whose sum is σ = 8688284467200. Its totient is φ = 1794463051392.

The previous prime is 4155041105021. The next prime is 4155041105177. The reversal of 4155041105145 is 5415011405514.

4155041105145 is a `hidden beast` number, since 4 + 1 + 5 + 504 + 1 + 1 + 0 + 5 + 145 = 666.

It is not a de Polignac number, because 4155041105145 - 210 = 4155041104121 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181704 + ... + 3115526.

It is an arithmetic number, because the mean of its divisors is an integer number (90502963200).

Almost surely, 24155041105145 is an apocalyptic number.

4155041105145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4155041105145 is an abundant number, since it is smaller than the sum of its proper divisors (4533243362055).

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

4155041105145 is a wasteful number, since it uses less digits than its factorization.

4155041105145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934219 (or 1934216 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 4155041105145 in words is "four trillion, one hundred fifty-five billion, forty-one million, one hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 359 399 665 855 1077 1197 1795 1995 2513 3231 5385 5985 6821 7539 12565 16155 20463 22617 34105 37695 47747 61389 102315 113085 143241 238735 306945 429723 716205 1933823 2148615 5801469 9669115 13536761 17404407 29007345 36742637 40610283 67683805 87022035 110227911 121830849 183713185 203051415 257198459 330683733 551139555 609154245 694242457 771595377 1285992295 1653418665 2082727371 2314786131 3471212285 3857976885 4859697199 6248182113 10413636855 11573930655 13190606683 14579091597 24298485995 31240910565 39571820049 43737274791 65953033415 72895457985 92334246781 118715460147 197859100245 218686373955 277002740343 461671233905 593577300735 831008221029 1385013701715 4155041105145