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310113142440 = 23353377376519
BaseRepresentation
bin1001000001101000010…
…11110000011010101000
31002122110022120220010020
410200310023300122220
520040102431024230
6354244120520440
731255615134543
oct4406413603250
91078408526106
10310113142440
1110a577869962
1250128320120
13233220b186a
141101c31785a
15810046a810
hex48342f06a8

310113142440 has 64 divisors (see below), whose sum is σ = 930379132800. Its totient is φ = 82693308672.

The previous prime is 310113142439. The next prime is 310113142457. The reversal of 310113142440 is 44241311013.

It is a super-2 number, since 2×3101131424402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 310113142440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014501 + ... + 4091019.

It is an arithmetic number, because the mean of its divisors is an integer number (14537173950).

Almost surely, 2310113142440 is an apocalyptic number.

310113142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310113142440 is an abundant number, since it is smaller than the sum of its proper divisors (620265990360).

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

310113142440 is a wasteful number, since it uses less digits than its factorization.

310113142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110306 (or 110302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 310113142440 its reverse (44241311013), we get a palindrome (354354453453).

The spelling of 310113142440 in words is "three hundred ten billion, one hundred thirteen million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33773 67546 76519 101319 135092 153038 168865 202638 229557 270184 306076 337730 382595 405276 459114 506595 612152 675460 765190 810552 918228 1013190 1147785 1350920 1530380 1836456 2026380 2295570 3060760 4052760 4591140 9182280 2584276187 5168552374 7752828561 10337104748 12921380935 15505657122 20674209496 25842761870 31011314244 38764142805 51685523740 62022628488 77528285610 103371047480 155056571220 310113142440