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14301102973920 = 253574256280647
BaseRepresentation
bin1101000000011011110000…
…1010011010001111100000
31212122011122110021212021120
43100012330022122033200
53333302124330131140
650225500324452240
73004135443403350
oct320067412321740
955564573255246
1014301102973920
114614077888584
12172b79654a080
137c9785435039
14376269c84b60
1519c01032e1d0
hexd01bc29a3e0

14301102973920 has 96 divisors (see below), whose sum is σ = 51483970718208. Its totient is φ = 3268823536128.

The previous prime is 14301102973777. The next prime is 14301102973921. The reversal of 14301102973920 is 2937920110341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301102973921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2128136964 + ... + 2128143683.

It is an arithmetic number, because the mean of its divisors is an integer number (536291361648).

Almost surely, 214301102973920 is an apocalyptic number.

14301102973920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301102973920 is an abundant number, since it is smaller than the sum of its proper divisors (37182867744288).

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

14301102973920 is a wasteful number, since it uses less digits than its factorization.

14301102973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256280672 (or 4256280664 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 14301102973920 in words is "fourteen trillion, three hundred one billion, one hundred two million, nine hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 4256280647 8512561294 12768841941 17025122588 21281403235 25537683882 29793964529 34050245176 42562806470 51075367764 59587929058 63844209705 68100490352 85125612940 89381893587 102150735528 119175858116 127688419410 136200980704 148969822645 170251225880 178763787174 204301471056 238351716232 255376838820 297939645290 340502451760 357527574348 408602942112 446909467935 476703432464 510753677640 595879290580 681004903520 715055148696 893818935870 953406864928 1021507355280 1191758581160 1430110297392 1787637871740 2043014710560 2383517162320 2860220594784 3575275743480 4767034324640 7150551486960 14301102973920