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1114773102144 = 26331349624871
BaseRepresentation
bin10000001110001101101…
…001111001111001000000
310221120102110021010002000
4100032031221321321000
5121231023403232034
62212041504224000
7143353055011122
oct20161551717100
93846373233060
101114773102144
1139a855399319
1216007330b000
1381179610030
143bd53507212
151dee78e6599
hex1038da79e40

1114773102144 has 112 divisors (see below), whose sum is σ = 3529320896640. Its totient is φ = 343007101440.

The previous prime is 1114773102073. The next prime is 1114773102197. The reversal of 1114773102144 is 4412013774111.

1114773102144 is a `hidden beast` number, since 1 + 11 + 477 + 31 + 0 + 2 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1114773102099 and 1114773102108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24789972 + ... + 24834899.

It is an arithmetic number, because the mean of its divisors is an integer number (31511793720).

Almost surely, 21114773102144 is an apocalyptic number.

It is an amenable number.

1114773102144 is an abundant number, since it is smaller than the sum of its proper divisors (2414547794496).

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

1114773102144 is a wasteful number, since it uses less digits than its factorization.

1114773102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49624905 (or 49624889 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 1114773102144 its reverse (4412013774111), we get a palindrome (5526786876255).

The spelling of 1114773102144 in words is "one trillion, one hundred fourteen billion, seven hundred seventy-three million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 49624871 99249742 148874613 198499484 297749226 396998968 446623839 595498452 645123323 793997936 893247678 1190996904 1290246646 1339871517 1587995872 1786495356 1935369969 2381993808 2580493292 2679743034 3175991744 3572990712 3870739938 4763987616 5160986584 5359486068 5806109907 7145981424 7741479876 9527975232 10321973168 10718972136 11612219814 14291962848 15482959752 17418329721 20643946336 21437944272 23224439628 28583925696 30965919504 34836659442 41287892672 42875888544 46448879256 61931839008 69673318884 85751777088 92897758512 123863678016 139346637768 185795517024 278693275536 371591034048 557386551072 1114773102144