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14735240232504 = 23311711395655619
BaseRepresentation
bin1101011001101101000011…
…0000100111111000111000
31221011200020020010122110220
43112123100300213320320
53412410232444420004
651201135332540040
73050404663251531
oct326332060477070
957150206118426
1014735240232504
1147711a8a67580
12179b956181620
1382b6b131746c
1438d291b35688
151a846db8add9
hexd66d0c27e38

14735240232504 has 128 divisors (see below), whose sum is σ = 41046227712000. Its totient is φ = 4370661590400.

The previous prime is 14735240232371. The next prime is 14735240232523. The reversal of 14735240232504 is 40523204253741.

14735240232504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147352402325042 (a number of 27 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, 222394 + ... + 5433225.

It is an arithmetic number, because the mean of its divisors is an integer number (320673654000).

Almost surely, 214735240232504 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 14735240232504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523113856000).

14735240232504 is an abundant number, since it is smaller than the sum of its proper divisors (26310987479496).

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

14735240232504 is a wasteful number, since it uses less digits than its factorization.

14735240232504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655849 (or 5655845 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 14735240232504 in words is "fourteen trillion, seven hundred thirty-five billion, two hundred forty million, two hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 139 142 213 264 278 284 417 426 556 568 781 834 852 1112 1529 1562 1668 1704 2343 3058 3124 3336 4587 4686 6116 6248 9174 9372 9869 12232 18348 18744 19738 29607 36696 39476 59214 78952 108559 118428 217118 236856 325677 434236 651354 868472 1302708 2605416 5655619 11311238 16966857 22622476 33933714 45244952 62211809 67867428 124423618 135734856 186635427 248847236 373270854 401548949 497694472 746541708 786131041 803097898 1204646847 1493083416 1572262082 1606195796 2358393123 2409293694 3144524164 3212391592 4417038439 4716786246 4818587388 6289048328 8647441451 8834076878 9433572492 9637174776 13251115317 17294882902 17668153756 18867144984 25942324353 26502230634 34589765804 35336307512 51884648706 53004461268 55815303911 69179531608 103769297412 106008922536 111630607822 167445911733 207538594824 223261215644 334891823466 446522431288 613968343021 669783646932 1227936686042 1339567293864 1841905029063 2455873372084 3683810058126 4911746744168 7367620116252 14735240232504