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116442092430 = 2335312448769
BaseRepresentation
bin110110001110001111…
…1010101001110001110
3102010120001100011212000
41230130133111032032
53401433133424210
6125254234053130
711261354312016
oct1543437251616
9363501304760
10116442092430
1145423586544
121a69827a1a6
13ac99054311
1458c89d2c46
15306795aac0
hex1b1c7d538e

116442092430 has 96 divisors (see below), whose sum is σ = 320852599200. Its totient is φ = 30049505280.

The previous prime is 116442092419. The next prime is 116442092447. The reversal of 116442092430 is 34290244611.

116442092430 is a `hidden beast` number, since 1 + 1 + 644 + 2 + 0 + 9 + 2 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35086 + ... + 483854.

It is an arithmetic number, because the mean of its divisors is an integer number (3342214575).

Almost surely, 2116442092430 is an apocalyptic number.

116442092430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116442092430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160426299600).

116442092430 is an abundant number, since it is smaller than the sum of its proper divisors (204410506770).

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

116442092430 is a wasteful number, since it uses less digits than its factorization.

116442092430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448847 (or 448810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116442092430 in words is "one hundred sixteen billion, four hundred forty-two million, ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 961 1395 1674 1922 2790 2883 4185 4805 5766 8370 8649 9610 14415 17298 25947 28830 43245 51894 86490 129735 259470 448769 897538 1346307 2243845 2692614 4038921 4487690 6731535 8077842 12116763 13463070 13911839 20194605 24233526 27823678 40389210 41735517 60583815 69559195 83471034 121167630 125206551 139118390 208677585 250413102 375619653 417355170 431267009 626032755 751239306 862534018 1252065510 1293801027 1878098265 2156335045 2587602054 3756196530 3881403081 4312670090 6469005135 7762806162 11644209243 12938010270 19407015405 23288418486 38814030810 58221046215 116442092430