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119114026641 = 3229239672
BaseRepresentation
bin110111011101110111…
…1111100111010010001
3102101110021001111112100
41232323233330322101
53422421142323031
6130415322551013
711414520343461
oct1567357747221
9371407044470
10119114026641
1146574843235
121b103068469
13b30379228c
145a9d7dbba1
1531722e9de6
hex1bbbbfce91

119114026641 has 27 divisors (see below), whose sum is σ = 178235988411. Its totient is φ = 76651770384.

The previous prime is 119114026487. The next prime is 119114026657. The reversal of 119114026641 is 146620411911.

The square root of 119114026641 is 345129.

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

119114026641 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 1 + 4 + 0 + 2 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62460506241 + 56653520400 = 249921^2 + 238020^2 .

It is not a de Polignac number, because 119114026641 - 213 = 119114018449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 119114026596 and 119114026605.

It is not an unprimeable number, because it can be changed into a prime (119114026841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30024240 + ... + 30028206.

Almost surely, 2119114026641 is an apocalyptic number.

119114026641 is the 345129-th square number.

119114026641 is the 172565-th centered octagonal number.

It is an amenable number.

119114026641 is a deficient number, since it is larger than the sum of its proper divisors (59121961770).

119114026641 is an frugal number, since it uses more digits than its factorization.

119114026641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 119114026641 by its sum of digits (36), we get a square (4288104959076 = 20707742).

The spelling of 119114026641 in words is "one hundred nineteen billion, one hundred fourteen million, twenty-six thousand, six hundred forty-one".

Divisors: 1 3 9 29 87 261 841 2523 3967 7569 11901 35703 115043 345129 1035387 3336247 10008741 15737089 30026223 47211267 141633801 456375581 1369126743 4107380229 13234891849 39704675547 119114026641