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14348920031904 = 253195417648939
BaseRepresentation
bin1101000011001101111001…
…0010000000101010100000
31212210202001220112002102010
43100303132102000222200
53340043042012010104
650303445230152520
73010450420603563
oct320633622005240
955722056462363
1014348920031904
114632385311a17
121738b00352740
13801135b666a3
143786c46d84da
1519d3ad226489
hexd0cde480aa0

14348920031904 has 48 divisors (see below), whose sum is σ = 37667847540960. Its totient is φ = 4782727952640.

The previous prime is 14348920031893. The next prime is 14348920032001. The reversal of 14348920031904 is 40913002984341.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 1948534 + ... + 5700405.

It is an arithmetic number, because the mean of its divisors is an integer number (784746823770).

Almost surely, 214348920031904 is an apocalyptic number.

It is an amenable number.

14348920031904 is an abundant number, since it is smaller than the sum of its proper divisors (23318927509056).

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

14348920031904 is a wasteful number, since it uses less digits than its factorization.

14348920031904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668493 (or 7668485 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 14348920031904 in words is "fourteen trillion, three hundred forty-eight billion, nine hundred twenty million, thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 19541 39082 58623 78164 117246 156328 234492 312656 468984 625312 937968 1875936 7648939 15297878 22946817 30595756 45893634 61191512 91787268 122383024 183574536 244766048 367149072 734298144 149467916999 298935833998 448403750997 597871667996 896807501994 1195743335992 1793615003988 2391486671984 3587230007976 4782973343968 7174460015952 14348920031904