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311344114240 = 2656611471937
BaseRepresentation
bin1001000011111011000…
…11100010101001000000
31002202122002212201222101
410201331203202221000
520100113043123430
6355010212520144
731331253206605
oct4417543425100
91082562781871
10311344114240
111100496aa225
1250410620054
132348a12b443
14110d79ca6ac
158173572dca
hex487d8e2a40

311344114240 has 56 divisors (see below), whose sum is σ = 742510292472. Its totient is φ = 124349153280.

The previous prime is 311344114219. The next prime is 311344114297. The reversal of 311344114240 is 42411443113.

It can be written as a sum of positive squares in 4 ways, for example, as 66176533504 + 245167580736 = 257248^2 + 495144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311344114199 and 311344114208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524449 + ... + 947488.

Almost surely, 2311344114240 is an apocalyptic number.

It is an amenable number.

311344114240 is an abundant number, since it is smaller than the sum of its proper divisors (431166178232).

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

311344114240 is a wasteful number, since it uses less digits than its factorization.

311344114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472615 (or 1472605 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 311344114240 its reverse (42411443113), we get a palindrome (353755557353).

The spelling of 311344114240 in words is "three hundred eleven billion, three hundred forty-four million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 42304 52880 105760 211520 1471937 2943874 5887748 7359685 11775496 14719370 23550992 29438740 47101984 58877480 94203968 117754960 235509920 471019840 972950357 1945900714 3891801428 4864751785 7783602856 9729503570 15567205712 19459007140 31134411424 38918014280 62268822848 77836028560 155672057120 311344114240