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253144161441352 = 2371881344021213
BaseRepresentation
bin111001100011101110110111…
…110100011101011001001000
31020012022100022212020121021001
4321203232313310131121020
5231140003220312110402
62254220453342224344
7104215030210240306
oct7143566764353110
91205270285217231
10253144161441352
1173728921751785
122448504b5850b4
13ab3351329bc6c
1446723582cd276
151e3ecd9679187
hexe63bb7d1d648

253144161441352 has 16 divisors (see below), whose sum is σ = 474645973802940. Its totient is φ = 126571901760576.

The previous prime is 253144161441343. The next prime is 253144161441389.

253144161441352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 251646000129316 + 1498161312036 = 15863354^2 + 1223994^2 .

It is a super-2 number, since 2×2531441614413522 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16260103 + ... + 27761110.

Almost surely, 2253144161441352 is an apocalyptic number.

It is an amenable number.

253144161441352 is a deficient number, since it is larger than the sum of its proper divisors (221501812361588).

253144161441352 is a wasteful number, since it uses less digits than its factorization.

253144161441352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44740032 (or 44740028 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 46.

The spelling of 253144161441352 in words is "two hundred fifty-three trillion, one hundred forty-four billion, one hundred sixty-one million, four hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 718813 1437626 2875252 5750504 44021213 88042426 176084852 352169704 31643020180169 63286040360338 126572080720676 253144161441352