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14994188354952 = 23322326387343141
BaseRepresentation
bin1101101000110001101101…
…0001010100010110001000
31222002102121202201012222200
43122030123101110112020
53431131044204324302
651520122433520200
73105202652055042
oct332143321242610
958072552635880
1014994188354952
114860aaa479644
121821b83413060
13849c3b191761
1439ba18ad6a92
151b007733581c
hexda31b454588

14994188354952 has 96 divisors (see below), whose sum is σ = 42376609529280. Its totient is φ = 4780560597120.

The previous prime is 14994188354947. The next prime is 14994188354963. The reversal of 14994188354952 is 25945388149941.

14994188354952 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 4 + 188 + 354 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 43525302 + ... + 43868442.

It is an arithmetic number, because the mean of its divisors is an integer number (441423015930).

Almost surely, 214994188354952 is an apocalyptic number.

14994188354952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14994188354952 is an abundant number, since it is smaller than the sum of its proper divisors (27382421174328).

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

14994188354952 is a wasteful number, since it uses less digits than its factorization.

14994188354952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369563 (or 369556 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 14994188354952 in words is "fourteen trillion, nine hundred ninety-four billion, one hundred eighty-eight million, three hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 26387 52774 79161 105548 158322 211096 237483 316644 343141 474966 606901 633288 686282 949932 1029423 1213802 1372564 1820703 1899864 2058846 2427604 2745128 3088269 3641406 4117692 4855208 5462109 6176538 7282812 7892243 8235384 10924218 12353076 14565624 15784486 21848436 23676729 24706152 31568972 43696872 47353458 63137944 71030187 94706916 142060374 189413832 284120748 568241496 9054461567 18108923134 27163384701 36217846268 54326769402 72435692536 81490154103 108653538804 162980308206 208252616041 217307077608 325960616412 416505232082 624757848123 651921232824 833010464164 1249515696246 1666020928328 1874273544369 2499031392492 3748547088738 4998062784984 7497094177476 14994188354952