Search a number
-
+
16442721216131 = 7109157137261741
BaseRepresentation
bin1110111101000101111010…
…0011101010011010000011
32011012220112111211210222112
43233101132203222122003
54123344143112404011
654545403140125535
73314642650166150
oct357213643523203
964186474753875
1016442721216131
11526a356513861
121a168620968ab
139237078b0462
1440bb90c45227
151d7aa613258b
hexef45e8ea683

16442721216131 has 16 divisors (see below), whose sum is σ = 19084872607680. Its totient is φ = 13875514773120.

The previous prime is 16442721216101. The next prime is 16442721216149. The reversal of 16442721216131 is 13161212724461.

It is not a de Polignac number, because 16442721216131 - 214 = 16442721199747 is a prime.

It is a super-3 number, since 3×164427212161313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16442721216101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68511080 + ... + 68750661.

It is an arithmetic number, because the mean of its divisors is an integer number (1192804537980).

Almost surely, 216442721216131 is an apocalyptic number.

16442721216131 is a deficient number, since it is larger than the sum of its proper divisors (2642151391549).

16442721216131 is a wasteful number, since it uses less digits than its factorization.

16442721216131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137262014.

The product of its digits is 96768, while the sum is 41.

The spelling of 16442721216131 in words is "sixteen trillion, four hundred forty-two billion, seven hundred twenty-one million, two hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 7 109 157 763 1099 17113 119791 137261741 960832187 14961529769 21550093337 104730708383 150850653359 2348960173733 16442721216131