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11140523420 = 22513294334361
BaseRepresentation
bin10100110000000011…
…01110010110011100
31001202101212020010112
422120001232112130
5140303433222140
65041244025152
7543033613055
oct123001562634
931671766115
1011140523420
1147a7598154
1221aab321b8
131087088cc0
1477980d72c
1545309ac65
hex29806e59c

11140523420 has 96 divisors (see below), whose sum is σ = 26670409920. Its totient is φ = 3879106560.

The previous prime is 11140523417. The next prime is 11140523431. The reversal of 11140523420 is 2432504111.

It is a super-2 number, since 2×111405234202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 307040 + ... + 341400.

It is an arithmetic number, because the mean of its divisors is an integer number (277816770).

Almost surely, 211140523420 is an apocalyptic number.

11140523420 is a gapful number since it is divisible by the number (10) 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 11140523420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335204960).

11140523420 is an abundant number, since it is smaller than the sum of its proper divisors (15529886500).

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

11140523420 is a wasteful number, since it uses less digits than its factorization.

11140523420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34455 (or 34453 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 11140523420 in words is "eleven billion, one hundred forty million, five hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 43 52 58 65 86 116 130 145 172 215 260 290 377 430 559 580 754 860 1118 1247 1508 1885 2236 2494 2795 3770 4988 5590 6235 7540 11180 12470 16211 24940 32422 34361 64844 68722 81055 137444 162110 171805 324220 343610 446693 687220 893386 996469 1477523 1786772 1992938 2233465 2955046 3985876 4466930 4982345 5910092 7387615 8933860 9964690 12954097 14775230 19207799 19929380 25908194 29550460 38415598 42848167 51816388 64770485 76831196 85696334 96038995 129540970 171392668 192077990 214240835 259081940 384155980 428481670 557026171 856963340 1114052342 2228104684 2785130855 5570261710 11140523420