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310144302440 = 235721093144773
BaseRepresentation
bin1001000001101100000…
…10100111110101101000
31002122112111012222121022
410200312002213311220
520040133420134230
6354251152432012
731256444034200
oct4406602476550
91078474188538
10310144302440
1110a593411925
1250136848608
13233286a182b
1411022509400
1581030731e5
hex48360a7d68

310144302440 has 96 divisors (see below), whose sum is σ = 812503538280. Its totient is φ = 106237168128.

The previous prime is 310144302431. The next prime is 310144302443. The reversal of 310144302440 is 44203441013.

It can be written as a sum of positive squares in 4 ways, for example, as 305607741124 + 4536561316 = 552818^2 + 67354^2 .

It is not an unprimeable number, because it can be changed into a prime (310144302443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2069894 + ... + 2214666.

Almost surely, 2310144302440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310144302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406251769140).

310144302440 is an abundant number, since it is smaller than the sum of its proper divisors (502359235840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310144302440 is a wasteful number, since it uses less digits than its factorization.

310144302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145891 (or 145880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 310144302440 its reverse (44203441013), we get a palindrome (354347743453).

The spelling of 310144302440 in words is "three hundred ten billion, one hundred forty-four million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1093 1960 2186 4372 5465 7651 8744 10930 15302 21860 30604 38255 43720 53557 61208 76510 107114 144773 153020 214228 267785 289546 306040 428456 535570 579092 723865 1013411 1071140 1158184 1447730 2026822 2142280 2895460 4053644 5067055 5790920 7093877 8107288 10134110 14187754 20268220 28375508 35469385 40536440 56751016 70938770 141877540 158236889 283755080 316473778 632947556 791184445 1107658223 1265895112 1582368890 2215316446 3164737780 4430632892 5538291115 6329475560 7753607561 8861265784 11076582230 15507215122 22153164460 31014430244 38768037805 44306328920 62028860488 77536075610 155072151220 310144302440