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114116321660 = 2251125711811709
BaseRepresentation
bin110101001000111011…
…1001110000101111100
3101220112221222210010212
41222101313032011330
53332202234243120
6124231352451552
711146623505145
oct1522167160574
9356487883125
10114116321660
114443a763540
121a1493a9bb8
13a9b82581b3
145747b76acc
152e7d6986c5
hex1a91dce17c

114116321660 has 96 divisors (see below), whose sum is σ = 262823279040. Its totient is φ = 41276211200.

The previous prime is 114116321647. The next prime is 114116321681. The reversal of 114116321660 is 66123611411.

It is a super-3 number, since 3×1141163216603 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 66772886 + ... + 66774594.

It is an arithmetic number, because the mean of its divisors is an integer number (2737742490).

Almost surely, 2114116321660 is an apocalyptic number.

114116321660 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 114116321660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131411639520).

114116321660 is an abundant number, since it is smaller than the sum of its proper divisors (148706957380).

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

114116321660 is a wasteful number, since it uses less digits than its factorization.

114116321660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 114116321660 in words is "one hundred fourteen billion, one hundred sixteen million, three hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1181 1285 1709 2362 2570 2827 3418 4724 5140 5654 5905 6836 8545 11308 11810 12991 14135 17090 18799 23620 25982 28270 34180 37598 51964 56540 64955 75196 93995 129910 187990 259820 303517 375980 439213 607034 878426 1214068 1517585 1756852 2018329 2196065 3035170 3338687 4036658 4392130 4831343 6070340 6677374 8073316 8784260 9662686 10091645 13354748 16693435 19325372 20183290 22201619 24156715 33386870 40366580 44403238 48313430 66773740 88806476 96626860 111008095 222016190 444032380 518710553 1037421106 2074842212 2593552765 5187105530 5705816083 10374211060 11411632166 22823264332 28529080415 57058160830 114116321660