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1041042876816 = 243371015939787
BaseRepresentation
bin11110010011000101111…
…11011010100110010000
310200112010001211121000210
433021202333122212100
5114024023434024231
62114125401444120
7135133004310015
oct17114277324620
93615101747023
101041042876816
1137155a6227a8
121499171a0640
137722941b377
143855b32370c
151c12ea9da46
hexf262fda990

1041042876816 has 160 divisors (see below), whose sum is σ = 2794382540928. Its totient is φ = 333694771200.

The previous prime is 1041042876751. The next prime is 1041042876827. The reversal of 1041042876816 is 6186782401401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106365075 + ... + 106374861.

Almost surely, 21041042876816 is an apocalyptic number.

1041042876816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041042876816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397191270464).

1041042876816 is an abundant number, since it is smaller than the sum of its proper divisors (1753339664112).

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

1041042876816 is a wasteful number, since it uses less digits than its factorization.

1041042876816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 1041042876816 in words is "one trillion, forty-one billion, forty-two million, eight hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 592 593 606 808 888 1186 1212 1616 1776 1779 2372 2424 3558 3737 4744 4848 7116 7474 9488 9787 11211 14232 14948 19574 21941 22422 28464 29361 29896 39148 43882 44844 58722 59792 59893 65823 78296 87764 89688 117444 119786 131646 156592 175528 179376 179679 234888 239572 263292 351056 359358 362119 469776 479144 526584 718716 724238 958288 988487 1053168 1086357 1437432 1448476 1976974 2172714 2216041 2874864 2896952 2965461 3953948 4345428 4432082 5793904 5803691 5930922 6648123 7907896 8690856 8864164 11607382 11861844 13296246 15815792 17381712 17411073 17728328 23214764 23723688 26592492 34822146 35456656 36574019 46429528 47447376 53184984 69644292 73148038 92859056 106369968 109722057 139288584 146296076 214736567 219444114 278577168 292592152 429473134 438888228 585184304 586172791 644209701 858946268 877776456 1172345582 1288419402 1717892536 1755552912 1758518373 2344691164 2576838804 3435785072 3517036746 4689382328 5153677608 7034073492 9378764656 10307355216 14068146984 21688393267 28136293968 43376786534 65065179801 86753573068 130130359602 173507146136 260260719204 347014292272 520521438408 1041042876816