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116334884241 = 32412472592
BaseRepresentation
bin110110001011000011…
…0010111010110010001
3102010021120121102212100
41230112012113112101
53401223212243431
6125235444151013
711255613125502
oct1542606272621
9363246542770
10116334884241
1145379011434
121a668398469
13ac7ca88914
1458b8686ba9
15305d3304e6
hex1b16197591

116334884241 has 81 divisors (see below), whose sum is σ = 179013636763. Its totient is φ = 72799901760.

The previous prime is 116334884233. The next prime is 116334884249. The reversal of 116334884241 is 142488433611.

The square root of 116334884241 is 341079.

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

116334884241 is a `hidden beast` number, since 1 + 1 + 63 + 348 + 8 + 4 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (116334884233) and next prime (116334884249).

It can be written as a sum of positive squares in only one way, i.e., 5605666641 + 110729217600 = 74871^2 + 332760^2 .

It is not a de Polignac number, because 116334884241 - 23 = 116334884233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116334884249) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1971777670 + ... + 1971777728.

Almost surely, 2116334884241 is an apocalyptic number.

116334884241 is the 341079-th square number.

116334884241 is the 170540-th centered octagonal number.

It is an amenable number.

116334884241 is a deficient number, since it is larger than the sum of its proper divisors (62678752522).

116334884241 is an frugal number, since it uses more digits than its factorization.

116334884241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 116334884241 in words is "one hundred sixteen billion, three hundred thirty-four million, eight hundred eighty-four thousand, two hundred forty-one".

Divisors: 1 3 9 41 47 59 123 141 177 369 423 531 1681 1927 2209 2419 2773 3481 5043 5781 6627 7257 8319 10443 15129 17343 19881 21771 24957 31329 79007 90569 99179 113693 130331 142721 163607 237021 271707 297537 341079 390993 428163 490821 711063 815121 892611 1023237 1172979 1284489 1472463 3713329 4661413 5343571 5851561 6707887 7689529 11139987 13984239 16030713 17554683 20123661 23068587 33419961 41952717 48092139 52664049 60370983 69205761 219086411 275023367 315270689 657259233 825070101 945812067 1971777699 2475210303 2837436201 12926098249 38778294747 116334884241