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311430240231040 = 2757119551581473
BaseRepresentation
bin100011011001111101000000…
…0110101110101111010000000
31111211200102212220111112120101
41012303322000311311322000
5311304433112444343130
63022205024405052144
7122412043450410340
oct10663720065657200
91454612786445511
10311430240231040
119025a906705a07
122ab193253b7054
13104a0990231328
1456c9438470d20
1526010366901ca
hex11b3e80d75e80

311430240231040 has 128 divisors (see below), whose sum is σ = 850880486891520. Its totient is φ = 106775005593600.

The previous prime is 311430240230999. The next prime is 311430240231041. The reversal of 311430240231040 is 40132042034113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (311430240231041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535297744 + ... + 535879216.

It is an arithmetic number, because the mean of its divisors is an integer number (6647503803840).

Almost surely, 2311430240231040 is an apocalyptic number.

It is an amenable number.

311430240231040 is an abundant number, since it is smaller than the sum of its proper divisors (539450246660480).

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

311430240231040 is a wasteful number, since it uses less digits than its factorization.

311430240231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701050 (or 701038 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 311430240231040 its reverse (40132042034113), we get a palindrome (351562282265153).

The spelling of 311430240231040 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 119551 239102 478204 581473 597755 836857 956408 1162946 1195510 1673714 1912816 2325892 2391020 2907365 3347428 3825632 4070311 4184285 4651784 4782040 5814730 6694856 7651264 8140622 8368570 9303568 9564080 11629460 13389712 15302528 16281244 16737140 18607136 19128160 20351555 23258920 26779424 32562488 33474280 37214272 38256320 40703110 46517840 53558848 65124976 66948560 74428544 76512640 81406220 93035680 107117696 130249952 133897120 162812440 186071360 260499904 267794240 325624880 372142720 520999808 535588480 651249760 1302499520 2604999040 69515678623 139031357246 278062714492 347578393115 486609750361 556125428984 695156786230 973219500722 1112250857968 1390313572460 1946439001444 2224501715936 2433048751805 2780627144920 3892878002888 4449003431872 4866097503610 5561254289840 7785756005776 8898006863744 9732195007220 11122508579680 15571512011552 19464390014440 22245017159360 31143024023104 38928780028880 44490034318720 62286048046208 77857560057760 155715120115520 311430240231040