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117104470340 = 225112132286333
BaseRepresentation
bin110110100001111111…
…0000110100101000100
3102012021012201110112012
41231003332012211010
53404312221022330
6125444055113352
711313646400654
oct1550376064504
9365235643465
10117104470340
1145733469900
121a842072858
13b073350300
14594c976364
1530a5b9ac95
hex1b43f86944

117104470340 has 108 divisors (see below), whose sum is σ = 292701495492. Its totient is φ = 39307656960.

The previous prime is 117104470337. The next prime is 117104470349. The reversal of 117104470340 is 43074401711.

It can be written as a sum of positive squares in 6 ways, for example, as 12274867264 + 104829603076 = 110792^2 + 323774^2 .

It is a super-2 number, since 2×1171044703402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117104470297 and 117104470306.

It is not an unprimeable number, because it can be changed into a prime (117104470349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265814 + ... + 552146.

Almost surely, 2117104470340 is an apocalyptic number.

117104470340 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 117104470340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146350747746).

117104470340 is an abundant number, since it is smaller than the sum of its proper divisors (175597025152).

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

117104470340 is a wasteful number, since it uses less digits than its factorization.

117104470340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286390 (or 286364 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 117104470340 in words is "one hundred seventeen billion, one hundred four million, four hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 169 220 242 260 286 338 484 572 605 676 715 845 1210 1430 1573 1690 1859 2420 2860 3146 3380 3718 6292 7436 7865 9295 15730 18590 20449 31460 37180 40898 81796 102245 204490 286333 408980 572666 1145332 1431665 2863330 3149663 3722329 5726660 6299326 7444658 12598652 14889316 15748315 18611645 31496630 34646293 37223290 40945619 48390277 62993260 69292586 74446580 81891238 96780554 138585172 163782476 173231465 193561108 204728095 241951385 346462930 409456190 450401809 483902770 532293047 692925860 818912380 900803618 967805540 1064586094 1801607236 2129172188 2252009045 2661465235 4504018090 5322930470 5855223517 9008036180 10645860940 11710447034 23420894068 29276117585 58552235170 117104470340