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1114354883664 = 2432113492015779
BaseRepresentation
bin10000001101110100101…
…110100001110001010000
310221112100022022102011200
4100031310232201301100
5121224144322234124
62211532204311200
7143336516140221
oct20156456416120
93845308272150
101114354883664
1139a66030a610
1215bb77242500
1381110a90189
143bd13b5d248
151dec0d34bc9
hex10374ba1c50

1114354883664 has 120 divisors (see below), whose sum is σ = 3411909228000. Its totient is φ = 336715557120.

The previous prime is 1114354883639. The next prime is 1114354883671. The reversal of 1114354883664 is 4663884534111.

1114354883664 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 3 + 548 + 8 + 36 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1114354883664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455074 + ... + 1560705.

It is an arithmetic number, because the mean of its divisors is an integer number (28432576900).

Almost surely, 21114354883664 is an apocalyptic number.

It is an amenable number.

1114354883664 is an abundant number, since it is smaller than the sum of its proper divisors (2297554344336).

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

1114354883664 is a wasteful number, since it uses less digits than its factorization.

1114354883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016153 (or 2016144 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 1114354883664 in words is "one trillion, one hundred fourteen billion, three hundred fifty-four million, eight hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 349 396 528 698 792 1047 1396 1584 2094 2792 3141 3839 4188 5584 6282 7678 8376 11517 12564 15356 16752 23034 25128 30712 34551 46068 50256 61424 69102 92136 138204 184272 276408 552816 2015779 4031558 6047337 8063116 12094674 16126232 18142011 22173569 24189348 32252464 36284022 44347138 48378696 66520707 72568044 88694276 96757392 133041414 145136088 177388552 199562121 266082828 290272176 354777104 399124242 532165656 703506871 798248484 1064331312 1407013742 1596496968 2110520613 2814027484 3192993936 4221041226 5628054968 6331561839 7738575581 8442082452 11256109936 12663123678 15477151162 16884164904 23215726743 25326247356 30954302324 33768329808 46431453486 50652494712 61908604648 69647180229 92862906972 101304989424 123817209296 139294360458 185725813944 278588720916 371451627888 557177441832 1114354883664