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14013341388 = 2233616313371
BaseRepresentation
bin11010000110100001…
…01001111011001100
31100011121120111112000
431003100221323030
5212144403411023
610234310312300
71004156302464
oct150320517314
940147514460
1014013341388
115a41190882
122871058690
1314243005a7
1496d18aba4
155703bb243
hex343429ecc

14013341388 has 96 divisors (see below), whose sum is σ = 36995965440. Its totient is φ = 4585896000.

The previous prime is 14013341371. The next prime is 14013341393. The reversal of 14013341388 is 88314331041.

It is a happy number.

14013341388 is a `hidden beast` number, since 140 + 133 + 4 + 1 + 388 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4155343 + ... + 4158713.

It is an arithmetic number, because the mean of its divisors is an integer number (385374640).

Almost surely, 214013341388 is an apocalyptic number.

14013341388 is a gapful number since it is divisible by the number (18) 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 14013341388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497982720).

14013341388 is an abundant number, since it is smaller than the sum of its proper divisors (22982624052).

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

14013341388 is a wasteful number, since it uses less digits than its factorization.

14013341388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14013341388 in words is "fourteen billion, thirteen million, three hundred forty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 631 732 1098 1262 1647 1893 2196 2524 3294 3371 3786 5679 6588 6742 7572 10113 11358 13484 17037 20226 22716 30339 34074 38491 40452 60678 68148 76982 91017 115473 121356 153964 182034 205631 230946 346419 364068 411262 461892 616893 692838 822524 1039257 1233786 1385676 1850679 2078514 2127101 2467572 3701358 4157028 4254202 5552037 6381303 7402716 8508404 11104074 12762606 19143909 22208148 25525212 38287818 57431727 76575636 114863454 129753161 229726908 259506322 389259483 519012644 778518966 1167778449 1557037932 2335556898 3503335347 4671113796 7006670694 14013341388