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1041853476114 = 2341115717092179
BaseRepresentation
bin11110010100100110100…
…11100110110100010010
310200121012120010022020000
433022103103212310102
5114032203442213424
62114342035430430
7135162046300203
oct17122323466422
93617176108200
101041853476114
11371936142a80
12149b02755416
1377328342819
14385d6c4b5aa
151c17ad1b3c9
hexf2934e6d12

1041853476114 has 160 divisors (see below), whose sum is σ = 2565650894400. Its totient is φ = 313374821760.

The previous prime is 1041853476049. The next prime is 1041853476151. The reversal of 1041853476114 is 4116743581401.

1041853476114 is a `hidden beast` number, since 1 + 0 + 4 + 18 + 53 + 476 + 114 = 666.

1041853476114 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1041853476114.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 478132677 + ... + 478134855.

It is an arithmetic number, because the mean of its divisors is an integer number (16035318090).

Almost surely, 21041853476114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041853476114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282825447200).

1041853476114 is an abundant number, since it is smaller than the sum of its proper divisors (1523797418286).

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

1041853476114 is a wasteful number, since it uses less digits than its factorization.

1041853476114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1041853476114 in words is "one trillion, forty-one billion, eight hundred fifty-three million, four hundred seventy-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 157 162 198 297 314 471 594 891 942 1413 1709 1727 1782 2179 2826 3418 3454 4239 4358 5127 5181 6537 8478 10254 10362 12717 13074 15381 15543 18799 19611 23969 25434 30762 31086 37598 39222 46143 46629 47938 56397 58833 71907 92286 93258 112794 117666 138429 139887 143814 169191 176499 215721 268313 276858 279774 338382 342103 352998 431442 507573 536626 647163 684206 804939 1015146 1026309 1294326 1522719 1609878 1941489 2052618 2414817 2951443 3045438 3078927 3723911 3763133 3882978 4829634 5902886 6157854 7244451 7447822 7526266 8854329 9236781 11171733 11289399 14488902 17708658 18473562 21733353 22343466 22578798 26562987 27710343 33515199 33868197 40963021 43466706 53125974 55420686 67030398 67736394 79688961 81926042 100545597 101604591 122889063 159377922 201091194 203209182 239066883 245778126 301636791 304813773 368667189 478133766 584654027 603273582 609627546 737334378 1106001567 1169308054 1753962081 2212003134 3318004701 3507924162 5261886243 6431194297 6636009402 10523772486 12862388594 15785658729 19293582891 31571317458 38587165782 47356976187 57880748673 94713952374 115761497346 173642246019 347284492038 520926738057 1041853476114