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1401014134014 = 2311472017223921
BaseRepresentation
bin10100011000110010111…
…100110010010011111110
311221221021002021010210220
4110120302330302103332
5140423234104242024
62551341135042210
7203135302435665
oct24306274622376
94857232233726
101401014134014
114a0191a55180
121a7638970366
13a2165a52481
144bb49195ddc
152669c1d3e79
hex14632f324fe

1401014134014 has 64 divisors (see below), whose sum is σ = 3123357207552. Its totient is φ = 415308902400.

The previous prime is 1401014133991. The next prime is 1401014134043. The reversal of 1401014134014 is 4104314101041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6144774 + ... + 6368694.

It is an arithmetic number, because the mean of its divisors is an integer number (48802456368).

Almost surely, 21401014134014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401014134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561678603776).

1401014134014 is an abundant number, since it is smaller than the sum of its proper divisors (1722343073538).

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

1401014134014 is a wasteful number, since it uses less digits than its factorization.

1401014134014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226001.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1401014134014 its reverse (4104314101041), we get a palindrome (5505328235055).

The spelling of 1401014134014 in words is "one trillion, four hundred one billion, fourteen million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 2017 3102 4034 6051 12102 22187 44374 66561 94799 133122 189598 223921 284397 447842 568794 671763 1042789 1343526 2085578 2463131 3128367 4926262 6256734 7389393 10524287 14778786 21048574 31572861 63145722 115767157 231534314 347301471 451648657 694602942 903297314 1354945971 2709891942 4968135227 9936270454 14904405681 21227486879 29808811362 42454973758 63682460637 127364921274 233502355669 467004711338 700507067007 1401014134014