Search a number
-
+
20140404102 = 23271337332317
BaseRepresentation
bin10010110000011101…
…100010110110000110
31220222121201112110200
4102300131202312012
5312221420412402
613130302431330
71312045416210
oct226035426606
956877645420
1020140404102
1185a5807775
123aa0b92546
131b8c7c6ba0
14d90bd35b0
157cd25221c
hex4b0762d86

20140404102 has 96 divisors (see below), whose sum is σ = 55159470912. Its totient is φ = 5168178432.

The previous prime is 20140404091. The next prime is 20140404121.

20140404102 is a `hidden beast` number, since 20 + 140 + 404 + 102 = 666.

20140404102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105553 + ... + 226764.

It is an arithmetic number, because the mean of its divisors is an integer number (574577822).

Almost surely, 220140404102 is an apocalyptic number.

20140404102 is an abundant number, since it is smaller than the sum of its proper divisors (35019066810).

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

20140404102 is a wasteful number, since it uses less digits than its factorization.

20140404102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332382 (or 332379 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 20140404102 in words is "twenty billion, one hundred forty million, four hundred four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1443 1554 1638 2331 2886 3367 4329 4662 6734 8658 10101 20202 30303 60606 332317 664634 996951 1993902 2326219 2990853 4320121 4652438 5981706 6978657 8640242 12295729 12960363 13957314 20935971 24591458 25920726 30240847 36887187 38881089 41871942 60481694 73774374 77762178 86070103 90722541 110661561 159844477 172140206 181445082 221323122 258210309 272167623 319688954 479533431 516420618 544335246 774630927 959066862 1118911339 1438600293 1549261854 2237822678 2877200586 3356734017 6713468034 10070202051 20140404102