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311431030431040 = 2651374863228469
BaseRepresentation
bin100011011001111101010111…
…1111100001101110101000000
31111211200111220222101212012001
41012303322233330031311000
5311304441222242243130
63022205235033513344
7122412102154116412
oct10663725774156500
91454614828355161
10311431030431040
1190260181762963
122ab19505b72854
13104a0a87b626b0
1456c94b13a89b2
152601080c2d6ca
hex11b3eaff0dd40

311431030431040 has 56 divisors (see below), whose sum is σ = 798640921317960. Its totient is φ = 114989918926848.

The previous prime is 311431030430957. The next prime is 311431030431061. The reversal of 311431030431040 is 40134030134113.

It can be written as a sum of positive squares in 4 ways, for example, as 14881139481664 + 296549890949376 = 3857608^2 + 17220624^2 .

It is a congruent number.

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, 37431610075 + ... + 37431618394.

It is an arithmetic number, because the mean of its divisors is an integer number (14261445023535).

Almost surely, 2311431030431040 is an apocalyptic number.

It is an amenable number.

311431030431040 is an abundant number, since it is smaller than the sum of its proper divisors (487209890886920).

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

311431030431040 is a wasteful number, since it uses less digits than its factorization.

311431030431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74863228499 (or 74863228489 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 311431030431040 its reverse (40134030134113), we get a palindrome (351565060565153).

The spelling of 311431030431040 in words is "three hundred eleven trillion, four hundred thirty-one billion, thirty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 74863228469 149726456938 299452913876 374316142345 598905827752 748632284690 973221970097 1197811655504 1497264569380 1946443940194 2395623311008 2994529138760 3892887880388 4791246622016 4866109850485 5989058277520 7785775760776 9732219700970 11978116555040 15571551521552 19464439401940 23956233110080 31143103043104 38928878803880 62286206086208 77857757607760 155715515215520 311431030431040