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240977901025 = 52981792
BaseRepresentation
bin1110000001101101100…
…1101111010111100001
3212001000011102202000101
43200123121233113201
512422010320313100
6302412000422401
723260441235131
oct3403331572741
9761004382011
10240977901025
119321a819804
123a853017a01
1319954b71ca4
14b9404c6ac1
156405c2486a
hex381b66f5e1

240977901025 has 9 divisors (see below), whose sum is σ = 298815640851. Its totient is φ = 192780357240.

The previous prime is 240977900941. The next prime is 240977901133. The reversal of 240977901025 is 520109779042.

It is a happy number.

The square root of 240977901025 is 490895.

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., 86752044369 + 154225856656 = 294537^2 + 392716^2 .

It is not a de Polignac number, because 240977901025 - 237 = 103538947553 is a prime.

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, 2405386 + ... + 2503564.

Almost surely, 2240977901025 is an apocalyptic number.

240977901025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240977901025 is the 490895-th square number.

240977901025 is the 245448-th centered octagonal number.

It is an amenable number.

240977901025 is a deficient number, since it is larger than the sum of its proper divisors (57837739826).

240977901025 is an frugal number, since it uses more digits than its factorization.

240977901025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196368 (or 98184 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 240977901025 in words is "two hundred forty billion, nine hundred seventy-seven million, nine hundred one thousand, twenty-five".

Divisors: 1 5 25 98179 490895 2454475 9639116041 48195580205 240977901025