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14251250146452 = 22311281384213581
BaseRepresentation
bin1100111101100010000010…
…1100111101110010010100
31212110101222010101211102020
43033120200230331302110
53331443030014141302
650150533421413140
73000422156353134
oct317304054756224
955411863354366
1014251250146452
1145a4a151a6420
121721ba2a0a1b0
137c4b6c014267
14373a9ad04ac4
1519aa9385aebc
hexcf620b3dc94

14251250146452 has 48 divisors (see below), whose sum is σ = 36405005321664. Its totient is φ = 4303192096000.

The previous prime is 14251250146433. The next prime is 14251250146453. The reversal of 14251250146452 is 25464105215241.

14251250146452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14251250146453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192069699 + ... + 192143882.

It is an arithmetic number, because the mean of its divisors is an integer number (758437610868).

Almost surely, 214251250146452 is an apocalyptic number.

14251250146452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14251250146452 is an abundant number, since it is smaller than the sum of its proper divisors (22153755175212).

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

14251250146452 is a wasteful number, since it uses less digits than its factorization.

14251250146452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384213880 (or 384213878 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 14251250146452 in words is "fourteen trillion, two hundred fifty-one billion, two hundred fifty million, one hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1686 3091 3372 6182 9273 12364 18546 37092 384213581 768427162 1152640743 1536854324 2305281486 4226349391 4610562972 8452698782 12679048173 16905397564 25358096346 50716192692 107964016261 215928032522 323892048783 431856065044 647784097566 1187604178871 1295568195132 2375208357742 3562812536613 4750416715484 7125625073226 14251250146452