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1134120274008 = 2333153285710067
BaseRepresentation
bin10000100000001110110…
…101100000100001011000
311000102100210101021110220
4100200032311200201120
5122040134242232013
62225001353240040
7144636362162031
oct20401665404130
94012323337426
101134120274008
113a7a83367957
12163972703020
1382c40983617
143cc6ac13a88
151e77b1abb23
hex1080ed60858

1134120274008 has 128 divisors (see below), whose sum is σ = 2983323985920. Its totient is φ = 358781230080.

The previous prime is 1134120273961. The next prime is 1134120274009. The reversal of 1134120274008 is 8004720214311.

It is a self number, because there is not a number n which added to its sum of digits gives 1134120274008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134120274009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112652191 + ... + 112662257.

It is an arithmetic number, because the mean of its divisors is an integer number (23307218640).

Almost surely, 21134120274008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134120274008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491661992960).

1134120274008 is an abundant number, since it is smaller than the sum of its proper divisors (1849203711912).

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

1134120274008 is a wasteful number, since it uses less digits than its factorization.

1134120274008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13017 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 1134120274008 its reverse (8004720214311), we get a palindrome (9138840488319).

The spelling of 1134120274008 in words is "one trillion, one hundred thirty-four billion, one hundred twenty million, two hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 2857 3286 4929 5714 6572 8571 9858 10067 11428 13144 17142 19716 20134 22856 30201 34284 39432 40268 60402 68568 80536 88567 120804 151421 177134 241608 265701 302842 312077 354268 454263 531402 533551 605684 624154 708536 908526 936231 1062804 1067102 1211368 1248308 1600653 1817052 1872462 2125608 2134204 2496616 3201306 3634104 3744924 4268408 4694051 6402612 7489848 9388102 12805224 14082153 16540081 18776204 28164306 28761419 33080162 37552408 49620243 56328612 57522838 66160324 86284257 99240486 112657224 115045676 132320648 172568514 198480972 230091352 345137028 396961944 690274056 891603989 1524355207 1783207978 2674811967 3048710414 3566415956 4573065621 5349623934 6097420828 7132831912 9146131242 10699247868 12194841656 18292262484 21398495736 36584524968 47255011417 94510022834 141765034251 189020045668 283530068502 378040091336 567060137004 1134120274008