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13823590044432 = 243773563584069
BaseRepresentation
bin1100100100101000111000…
…1011001001001100010000
31210221112002202110200122110
43021022032023021030100
53302441203022410212
645222245233305320
72624502306436230
oct311121613111420
953845082420573
1013823590044432
11444a608221a83
121673130405240
1379373601525c
1435b0cb38dcc0
1518e8b398ba3c
hexc928e2c9310

13823590044432 has 80 divisors (see below), whose sum is σ = 41371579410560. Its totient is φ = 3895493078016.

The previous prime is 13823590044413. The next prime is 13823590044541. The reversal of 13823590044432 is 23444009532831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281767507 + ... + 281816562.

It is an arithmetic number, because the mean of its divisors is an integer number (517144742632).

Almost surely, 213823590044432 is an apocalyptic number.

13823590044432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13823590044432 is an abundant number, since it is smaller than the sum of its proper divisors (27547989366128).

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

13823590044432 is a wasteful number, since it uses less digits than its factorization.

13823590044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563584160 (or 563584154 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 13823590044432 in words is "thirteen trillion, eight hundred twenty-three billion, five hundred ninety million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 563584069 1127168138 1690752207 2254336276 3381504414 3945088483 4508672552 6763008828 7890176966 9017345104 11835265449 13526017656 15780353932 23670530898 27052035312 31560707864 41141637037 47341061796 63121415728 82283274074 94682123592 123424911111 164566548148 189364247184 246849822222 287991459259 329133096296 493699644444 575982918518 658266192592 863974377777 987399288888 1151965837036 1727948755554 1974798577776 2303931674072 3455897511108 4607863348144 6911795022216 13823590044432