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240144102025 = 52980092
BaseRepresentation
bin1101111110100110110…
…1000011001010001001
3211221212001111100210221
43133221231003022021
512413303342231100
6302153133310041
723230665121222
oct3375155031211
9757761440727
10240144102025
11929320a3223
123a65b935321
13198511b6bb9
14b8a1880249
1563a792301a
hex37e9b43289

240144102025 has 9 divisors (see below), whose sum is σ = 297781724821. Its totient is φ = 192113321440.

The previous prime is 240144102019. The next prime is 240144102049. The reversal of 240144102025 is 520201441042.

The square root of 240144102025 is 490045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35119884409 + 205024217616 = 187403^2 + 452796^2 .

It is not a de Polignac number, because 240144102025 - 235 = 205784363657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2401221 + ... + 2499229.

Almost surely, 2240144102025 is an apocalyptic number.

240144102025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

240144102025 is the 490045-th square number.

240144102025 is the 245023-rd centered octagonal number.

It is an amenable number.

240144102025 is a deficient number, since it is larger than the sum of its proper divisors (57637622796).

240144102025 is an frugal number, since it uses more digits than its factorization.

240144102025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196028 (or 98014 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Multiplying 240144102025 by its sum of digits (25), we get a square (6003602550625 = 24502252).

240144102025 divided by its sum of digits (25) gives a square (9605764081 = 980092).

Adding to 240144102025 its reverse (520201441042), we get a palindrome (760345543067).

The spelling of 240144102025 in words is "two hundred forty billion, one hundred forty-four million, one hundred two thousand, twenty-five".

Divisors: 1 5 25 98009 490045 2450225 9605764081 48028820405 240144102025