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4113141055056 = 24321110724268037
BaseRepresentation
bin111011110110101010010…
…011111011111001010000
3112120012201212112210210200
4323312222103323321100
51014342203102230211
612425314555255200
7603110320052355
oct73665223737120
915505655483720
104113141055056
111346411994950
125651a274a500
1323ab37c964a7
1410311176662c
1571ed3c0ab56
hex3bdaa4fbe50

4113141055056 has 120 divisors (see below), whose sum is σ = 12674905030944. Its totient is φ = 1234757671680.

The previous prime is 4113141055031. The next prime is 4113141055087. The reversal of 4113141055056 is 6505501413114.

4113141055056 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 141 + 0 + 5 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4113141055056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11964531 + ... + 12303506.

Almost surely, 24113141055056 is an apocalyptic number.

It is an amenable number.

4113141055056 is an abundant number, since it is smaller than the sum of its proper divisors (8561763975888).

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

4113141055056 is a wasteful number, since it uses less digits than its factorization.

4113141055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24268169 (or 24268160 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 4113141055056 in words is "four trillion, one hundred thirteen billion, one hundred forty-one million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 107 132 144 176 198 214 264 321 396 428 528 642 792 856 963 1177 1284 1584 1712 1926 2354 2568 3531 3852 4708 5136 7062 7704 9416 10593 14124 15408 18832 21186 28248 42372 56496 84744 169488 24268037 48536074 72804111 97072148 145608222 194144296 218412333 266948407 291216444 388288592 436824666 533896814 582432888 800845221 873649332 1067793628 1164865776 1601690442 1747298664 2135587256 2402535663 2596679959 3203380884 3494597328 4271174512 4805071326 5193359918 6406761768 7790039877 9610142652 10386719836 12813523536 15580079754 19220285304 20773439672 23370119631 28563479549 31160159508 38440570608 41546879344 46740239262 57126959098 62320319016 85690438647 93480478524 114253918196 124640638032 171380877294 186960957048 228507836392 257071315941 342761754588 373921914096 457015672784 514142631882 685523509176 1028285263764 1371047018352 2056570527528 4113141055056