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1141215013312 = 26114738390053
BaseRepresentation
bin10000100110110101101…
…101110010100111000000
311001002200020101101011021
4100212311231302213000
5122144202020411222
62232133354155224
7145310241363133
oct20466555624700
94032606341137
101141215013312
113aaa9413a570
12165212722b14
13838017aa70a
143d34119221a
151ea43e8bac7
hex109b5b729c0

1141215013312 has 112 divisors (see below), whose sum is σ = 2529649999872. Its totient is φ = 506365998080.

The previous prime is 1141215013291. The next prime is 1141215013363. The reversal of 1141215013312 is 2133105121411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12627678 + ... + 12717730.

Almost surely, 21141215013312 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 1141215013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264824999936).

1141215013312 is an abundant number, since it is smaller than the sum of its proper divisors (1388434986560).

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

1141215013312 is a wasteful number, since it uses less digits than its factorization.

1141215013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90506 (or 90496 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 1141215013312 in words is "one trillion, one hundred forty-one billion, two hundred fifteen million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 383 517 704 752 766 1034 1504 1532 2068 3008 3064 4136 4213 6128 8272 8426 12256 16544 16852 18001 24512 33088 33704 36002 67408 72004 90053 134816 144008 180106 198011 269632 288016 360212 396022 576032 720424 792044 990583 1152064 1440848 1584088 1981166 2881696 3168176 3962332 4232491 5763392 6336352 7924664 8464982 12672704 15849328 16929964 31698656 33859928 34490299 46557401 63397312 67719856 68980598 93114802 135439712 137961196 186229604 270879424 275922392 372459208 379393289 551844784 744918416 758786578 1103689568 1489836832 1517573156 1621044053 2207379136 2979673664 3035146312 3242088106 6070292624 6484176212 12140585248 12968352424 17831484583 24281170496 25936704848 35662969166 51873409696 71325938332 103746819392 142651876664 285303753328 570607506656 1141215013312