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117312014640 = 243519147117489
BaseRepresentation
bin110110101000001010…
…1110100100100110000
3102012210200020210210010
41231100111310210300
53410223333432030
6125520431334520
711322046446252
oct1552025644460
9365720223703
10117312014640
114582a634a17
121a89b681440
13b0a73494a2
14596c35dcd2
1530b8ee56b0
hex1b50574930

117312014640 has 160 divisors (see below), whose sum is σ = 383089766400. Its totient is φ = 29614878720.

The previous prime is 117312014639. The next prime is 117312014713. The reversal of 117312014640 is 46410213711.

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 = 117312014598 and 117312014607.

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, 6699016 + ... + 6716504.

It is an arithmetic number, because the mean of its divisors is an integer number (2394311040).

Almost surely, 2117312014640 is an apocalyptic number.

117312014640 is a gapful number since it is divisible by the number (10) 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 117312014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191544883200).

117312014640 is an abundant number, since it is smaller than the sum of its proper divisors (265777751760).

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

117312014640 is a wasteful number, since it uses less digits than its factorization.

117312014640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18995 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 117312014640 in words is "one hundred seventeen billion, three hundred twelve million, fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1471 1520 2280 2942 4413 4560 5884 7355 8826 11768 14710 17489 17652 22065 23536 27949 29420 34978 35304 44130 52467 55898 58840 69956 70608 83847 87445 88260 104934 111796 117680 139745 139912 167694 174890 176520 209868 223592 262335 279490 279824 332291 335388 349780 353040 419235 419736 447184 524670 558980 664582 670776 699560 838470 839472 996873 1049340 1117960 1329164 1341552 1399120 1661455 1676940 1993746 2098680 2235920 2658328 3322910 3353880 3987492 4197360 4984365 5316656 6645820 6707760 7974984 9968730 13291640 15949968 19937460 25726319 26583280 39874920 51452638 77178957 79749840 102905276 128631595 154357914 205810552 257263190 308715828 385894785 411621104 488800061 514526380 617431656 771789570 977600122 1029052760 1234863312 1466400183 1543579140 1955200244 2058105520 2444000305 2932800366 3087158280 3910400488 4888000610 5865600732 6174316560 7332000915 7820800976 9776001220 11731201464 14664001830 19552002440 23462402928 29328003660 39104004880 58656007320 117312014640