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14013214403520 = 263522376525301
BaseRepresentation
bin1100101111101011010010…
…1010101010101111000000
31211121122120000011012120010
43023322310222222233000
53314043030341403040
645445325401344520
72644264342052253
oct313726452525700
954548500135503
1014013214403520
114512a75230632
1216a3a31198140
137a8595883c27
1436635948909a
151947b10a1e80
hexcbeb4aaabc0

14013214403520 has 112 divisors (see below), whose sum is σ = 44511851670048. Its totient is φ = 3735186124800.

The previous prime is 14013214403471. The next prime is 14013214403563. The reversal of 14013214403520 is 2530441231041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115131 + ... + 5410170.

It is an arithmetic number, because the mean of its divisors is an integer number (397427247054).

Almost surely, 214013214403520 is an apocalyptic number.

14013214403520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013214403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255925835024).

14013214403520 is an abundant number, since it is smaller than the sum of its proper divisors (30498637266528).

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

14013214403520 is a wasteful number, since it uses less digits than its factorization.

14013214403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527558 (or 6527548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14013214403520 its reverse (2530441231041), we get a palindrome (16543655634561).

The spelling of 14013214403520 in words is "fourteen trillion, thirteen billion, two hundred fourteen million, four hundred three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2237 4474 6711 8948 11185 13422 17896 22370 26844 33555 35792 44740 53688 67110 71584 89480 107376 134220 143168 178960 214752 268440 357920 429504 536880 715840 1073760 2147520 6525301 13050602 19575903 26101204 32626505 39151806 52202408 65253010 78303612 97879515 104404816 130506020 156607224 195759030 208809632 261012040 313214448 391518060 417619264 522024080 626428896 783036120 1044048160 1252857792 1566072240 2088096320 3132144480 6264288960 14597098337 29194196674 43791295011 58388393348 72985491685 87582590022 116776786696 145970983370 175165180044 218956475055 233553573392 291941966740 350330360088 437912950110 467107146784 583883933480 700660720176 875825900220 934214293568 1167767866960 1401321440352 1751651800440 2335535733920 2802642880704 3503303600880 4671071467840 7006607201760 14013214403520