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117705227040 = 25325190742863
BaseRepresentation
bin110110110011111000…
…1110011101100100000
3102020211002011001210100
41231213301303230200
53412030014231130
6130023435302400
711334562631142
oct1554761635440
9366732131710
10117705227040
1145a11594245
121a98b2aaa00
13b13a95244b
1459a8678c92
1530dd7b7c60
hex1b67c73b20

117705227040 has 144 divisors (see below), whose sum is σ = 401889091968. Its totient is φ = 31370869248.

The previous prime is 117705227033. The next prime is 117705227071. The reversal of 117705227040 is 40722507711.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 117705226986 and 117705227004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724649 + ... + 2767511.

It is an arithmetic number, because the mean of its divisors is an integer number (2790896472).

Almost surely, 2117705227040 is an apocalyptic number.

117705227040 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 117705227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200944545984).

117705227040 is an abundant number, since it is smaller than the sum of its proper divisors (284183864928).

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

117705227040 is a wasteful number, since it uses less digits than its factorization.

117705227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44791 (or 44780 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 117705227040 in words is "one hundred seventeen billion, seven hundred five million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1907 3814 5721 7628 9535 11442 15256 17163 19070 22884 28605 30512 34326 38140 42863 45768 57210 61024 68652 76280 85726 85815 91536 114420 128589 137304 152560 171452 171630 183072 214315 228840 257178 274608 305120 342904 343260 385767 428630 457680 514356 549216 642945 685808 686520 771534 857260 915360 1028712 1285890 1371616 1373040 1543068 1714520 1928835 2057424 2571780 2746080 3086136 3429040 3857670 4114848 5143560 6172272 6858080 7715340 10287120 12344544 15430680 20574240 30861360 61722720 81739741 163479482 245219223 326958964 408698705 490438446 653917928 735657669 817397410 980876892 1226096115 1307835856 1471315338 1634794820 1961753784 2452192230 2615671712 2942630676 3269589640 3678288345 3923507568 4904384460 5885261352 6539179280 7356576690 7847015136 9808768920 11770522704 13078358560 14713153380 19617537840 23541045408 29426306760 39235075680 58852613520 117705227040