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14012142301024 = 257227132975333
BaseRepresentation
bin1100101111100111010011…
…0000111010111101100000
31211121112210021210202102021
43023321310300322331200
53314033331412113044
645445031142431224
72644225643250100
oct313716460727540
954545707722367
1014012142301024
11451257504010a
1216a3792132514
137a845472025a
14366296d2d200
1519474bdcbe84
hexcbe74c3af60

14012142301024 has 72 divisors (see below), whose sum is σ = 32208723435168. Its totient is φ = 5983044238080.

The previous prime is 14012142301019. The next prime is 14012142301051. The reversal of 14012142301024 is 42010324121041.

It is a self number, because there is not a number n which added to its sum of digits gives 14012142301024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16062739 + ... + 16912594.

It is an arithmetic number, because the mean of its divisors is an integer number (447343381044).

Almost surely, 214012142301024 is an apocalyptic number.

14012142301024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14012142301024 is an abundant number, since it is smaller than the sum of its proper divisors (18196581134144).

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

14012142301024 is a wasteful number, since it uses less digits than its factorization.

14012142301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32975628 (or 32975613 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 14012142301024 its reverse (42010324121041), we get a palindrome (56022466422065).

The spelling of 14012142301024 in words is "fourteen trillion, twelve billion, one hundred forty-two million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 271 392 542 784 1084 1568 1897 2168 3794 4336 7588 8672 13279 15176 26558 30352 53116 60704 106232 212464 424928 32975333 65950666 131901332 230827331 263802664 461654662 527605328 923309324 1055210656 1615791317 1846618648 3231582634 3693237296 6463165268 7386474592 8936315243 12926330536 17872630486 25852661072 35745260972 51705322144 62554206701 71490521944 125108413402 142981043888 250216826804 285962087776 437879446907 500433653608 875758893814 1000867307216 1751517787628 2001734614432 3503035575256 7006071150512 14012142301024