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3145044035040 = 253522329381951
BaseRepresentation
bin101101110001000011001…
…110111000010111100000
3102010122220112012200110220
4231301003032320113200
5403012022233110130
610404451400323040
7443136060132645
oct55610316702740
912118815180426
103145044035040
111002895404016
12429644a73480
1319a7653caacb
14ac3143a9dcc
1556c231b9410
hex2dc433b85e0

3145044035040 has 96 divisors (see below), whose sum is σ = 9951314558976. Its totient is φ = 834917491200.

The previous prime is 3145044035033. The next prime is 3145044035093. The reversal of 3145044035040 is 405304405413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3145044034992 and 3145044035010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14583936 + ... + 14798015.

It is an arithmetic number, because the mean of its divisors is an integer number (103659526656).

Almost surely, 23145044035040 is an apocalyptic number.

3145044035040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145044035040 is an abundant number, since it is smaller than the sum of its proper divisors (6806270523936).

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

3145044035040 is a wasteful number, since it uses less digits than its factorization.

3145044035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29382192 (or 29382184 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 3145044035040 in words is "three trillion, one hundred forty-five billion, forty-four million, thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 107040 29381951 58763902 88145853 117527804 146909755 176291706 235055608 293819510 352583412 440729265 470111216 587639020 705166824 881458530 940222432 1175278040 1410333648 1762917060 2350556080 2820667296 3525834120 4701112160 6552175073 7051668240 13104350146 14103336480 19656525219 26208700292 32760875365 39313050438 52417400584 65521750730 78626100876 98282626095 104834801168 131043501460 157252201752 196565252190 209669602336 262087002920 314504403504 393130504380 524174005840 629008807008 786261008760 1048348011680 1572522017520 3145044035040