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4311139680 = 25335997949
BaseRepresentation
bin1000000001111011…
…01100010101100000
3102010110011120212000
410000331230111200
532312122432210
61551442404000
7211556040231
oct40075542540
912113146760
104311139680
111912587061
12a03960600
1353921ca33
142cc7c7088
151a3734ac0
hex100f6c560

4311139680 has 96 divisors (see below), whose sum is σ = 15089004000. Its totient is φ = 1149636096.

The previous prime is 4311139669. The next prime is 4311139687. The reversal of 4311139680 is 869311134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4311139687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494655 + ... + 503294.

It is an arithmetic number, because the mean of its divisors is an integer number (157177125).

Almost surely, 24311139680 is an apocalyptic number.

4311139680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4311139680 is an abundant number, since it is smaller than the sum of its proper divisors (10777864320).

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

4311139680 is a wasteful number, since it uses less digits than its factorization.

4311139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997973 (or 997959 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4311139680 is about 65659.2695664519. The cubic root of 4311139680 is about 1627.5363537506.

The spelling of 4311139680 in words is "four billion, three hundred eleven million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 997949 1995898 2993847 3991796 4989745 5987694 7983592 8981541 9979490 11975388 14969235 15967184 17963082 19958980 23950776 26944623 29938470 31934368 35926164 39917960 44907705 47901552 53889246 59876940 71852328 79835920 89815410 95803104 107778492 119753880 134723115 143704656 159671840 179630820 215556984 239507760 269446230 287409312 359261640 431113968 479015520 538892460 718523280 862227936 1077784920 1437046560 2155569840 4311139680