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131354055184 = 2411282372
BaseRepresentation
bin111101001010101001…
…1111101001000010000
3110120001021211101010211
41322111103331020100
54123003114231214
6140202045133504
712330035022052
oct1722523751020
9416037741124
10131354055184
1150785a37900
122155a25a294
13c504587911
14650125b8d2
15363bb800c4
hex1e954fd210

131354055184 has 45 divisors (see below), whose sum is σ = 279771966061. Its totient is φ = 59699140160.

The previous prime is 131354055109. The next prime is 131354055233. The reversal of 131354055184 is 481550453131.

It is a happy number.

The square root of 131354055184 is 362428.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83186096400 + 48167958784 = 288420^2 + 219472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15942714 + ... + 15950950.

Almost surely, 2131354055184 is an apocalyptic number.

131354055184 is the 362428-th square number.

It is an amenable number.

131354055184 is an abundant number, since it is smaller than the sum of its proper divisors (148417910877).

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

131354055184 is an frugal number, since it uses more digits than its factorization.

131354055184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16504 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 131354055184 in words is "one hundred thirty-one billion, three hundred fifty-four million, fifty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8237 16474 32948 65896 90607 131792 181214 362428 724856 996677 1449712 1993354 3986708 7973416 15946832 67848169 135696338 271392676 542785352 746329859 1085570704 1492659718 2985319436 5970638872 8209628449 11941277744 16419256898 32838513796 65677027592 131354055184