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14002013113040 = 245233751180961
BaseRepresentation
bin1100101111000001100100…
…0001001000101011010000
31211120120122100221200200202
43023300121001020223100
53313402110324104130
645440234103034332
72643416636465561
oct313603101105320
954516570850622
1014002013113040
114509247409277
1216a1825a3b9a8
137a74cc03cab4
143659b597c168
15194357a01145
hexcbc19048ad0

14002013113040 has 40 divisors (see below), whose sum is σ = 32694400190088. Its totient is φ = 5576767447040.

The previous prime is 14002013113037. The next prime is 14002013113061. The reversal of 14002013113040 is 4031131020041.

It can be written as a sum of positive squares in 4 ways, for example, as 2771811904 + 13999241301136 = 52648^2 + 3741556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×140020131130402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 375571841 + ... + 375609120.

Almost surely, 214002013113040 is an apocalyptic number.

14002013113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002013113040 is an abundant number, since it is smaller than the sum of its proper divisors (18692387077048).

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

14002013113040 is a wasteful number, since it uses less digits than its factorization.

14002013113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751181207 (or 751181201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14002013113040 its reverse (4031131020041), we get a palindrome (18033144133081).

The spelling of 14002013113040 in words is "fourteen trillion, two billion, thirteen million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 9320 18640 751180961 1502361922 3004723844 3755904805 6009447688 7511809610 12018895376 15023619220 30047238440 60094476880 175025163913 350050327826 700100655652 875125819565 1400201311304 1750251639130 2800402622608 3500503278260 7001006556520 14002013113040