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32314105740 = 22357257299371
BaseRepresentation
bin11110000110000100…
…100001111110001100
310002102000200122200010
4132012010201332030
51012134402340430
622502255233220
72222526236550
oct360604417614
9102360618603
1032314105740
1112782519a14
126319b18810
13307c938837
1417c7909860
15c91d84cb0
hex786121f8c

32314105740 has 96 divisors (see below), whose sum is σ = 103807839744. Its totient is φ = 7357317120.

The previous prime is 32314105739. The next prime is 32314105781. The reversal of 32314105740 is 4750141323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32314105698 and 32314105707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41746 + ... + 257625.

It is an arithmetic number, because the mean of its divisors is an integer number (1081331664).

Almost surely, 232314105740 is an apocalyptic number.

32314105740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32314105740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51903919872).

32314105740 is an abundant number, since it is smaller than the sum of its proper divisors (71493734004).

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

32314105740 is a wasteful number, since it uses less digits than its factorization.

32314105740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299647 (or 299645 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 32314105740 in words is "thirty-two billion, three hundred fourteen million, one hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 257 420 514 771 1028 1285 1542 1799 2570 3084 3598 3855 5140 5397 7196 7710 8995 10794 15420 17990 21588 26985 35980 53970 107940 299371 598742 898113 1197484 1496855 1796226 2095597 2993710 3592452 4191194 4490565 5987420 6286791 8382388 8981130 10477985 12573582 17962260 20955970 25147164 31433955 41911940 62867910 76938347 125735820 153876694 230815041 307753388 384691735 461630082 538568429 769383470 923260164 1077136858 1154075205 1538766940 1615705287 2154273716 2308150410 2692842145 3231410574 4616300820 5385684290 6462821148 8078526435 10771368580 16157052870 32314105740