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41251260025136 = 2474131734781667
BaseRepresentation
bin10010110000100100011101…
…01100110100100100110000
312102001120201020102012110102
421120102032230310210300
520401330040031301021
6223422322305051532
711455206451551140
oct1130221654644460
9172046636365412
1041251260025136
11121646199587a7
12476292b626ba8
131a02c919a1b95
14a2880080a920
154b808ebe300b
hex25848eb34930

41251260025136 has 160 divisors (see below), whose sum is σ = 94136761861632. Its totient is φ = 17143744849920.

The previous prime is 41251260025121. The next prime is 41251260025147. The reversal of 41251260025136 is 63152006215214.

It is a super-2 number, since 2×412512600251362 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41251260025136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505074575 + ... + 505156241.

Almost surely, 241251260025136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41251260025136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47068380930816).

41251260025136 is an abundant number, since it is smaller than the sum of its proper divisors (52885501836496).

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

41251260025136 is a wasteful number, since it uses less digits than its factorization.

41251260025136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82387 (or 82381 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 41251260025136 in words is "forty-one trillion, two hundred fifty-one billion, two hundred sixty million, twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 317 328 347 574 634 656 694 1148 1268 1388 2219 2296 2429 2536 2776 4438 4592 4858 5072 5552 8876 9716 12997 14227 17752 19432 25994 28454 35504 38864 51988 56908 81667 90979 99589 103976 109999 113816 163334 181958 199178 207952 219998 227632 326668 363916 398356 439996 571669 653336 727832 769993 796712 879992 1143338 1306672 1455664 1539986 1593424 1759984 2286676 3079972 3348347 4509959 4573352 6159944 6696694 9019918 9146704 12319888 13393388 18039836 23438429 25888439 26786776 28338449 31569713 36079672 46876858 51776878 53573552 56676898 63139426 72159344 93753716 103553756 113353796 126278852 181219073 187507432 198369143 207107512 226707592 252557704 362438146 375014864 396738286 414215024 453415184 505115408 724876292 793476572 1061425999 1161876409 1449752584 1586953144 2122851998 2323752818 2899505168 3173906288 4245703996 4647505636 7429981993 8133134863 8491407992 8983288333 9295011272 14859963986 16266269726 16982815984 17966576666 18590022544 29719927972 32532539452 35933153332 59439855944 62883018331 65065078904 71866306664 118879711888 125766036662 130130157808 143732613328 251532073324 368314821653 503064146648 736629643306 1006128293296 1473259286612 2578203751571 2946518573224 5156407503142 5893037146448 10312815006284 20625630012568 41251260025136