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116444331304 = 237196111315877
BaseRepresentation
bin110110001110010011…
…1110111110100101000
3102010120012112221000021
41230130213313310220
53401434222100204
6125254354050224
711261412325240
oct1543447676450
9363505487007
10116444331304
1145424875654
121a698b79974
13ac996593b2
1458c9016b20
153067c4e154
hex1b1c9f7d28

116444331304 has 128 divisors (see below), whose sum is σ = 269341689600. Its totient is φ = 46088663040.

The previous prime is 116444331257. The next prime is 116444331317. The reversal of 116444331304 is 403133444611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 116444331304.

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, 7326214 + ... + 7342090.

It is an arithmetic number, because the mean of its divisors is an integer number (2104231950).

Almost surely, 2116444331304 is an apocalyptic number.

116444331304 is a gapful number since it is divisible by the number (14) 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 116444331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134670844800).

116444331304 is an abundant number, since it is smaller than the sum of its proper divisors (152897358296).

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

116444331304 is a wasteful number, since it uses less digits than its factorization.

116444331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16083 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 116444331304 its reverse (403133444611), we get a palindrome (519577775915).

The spelling of 116444331304 in words is "one hundred sixteen billion, four hundred forty-four million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 113 122 133 152 226 244 266 427 452 488 532 791 854 904 1064 1159 1582 1708 2147 2318 3164 3416 4294 4636 6328 6893 8113 8588 9272 13786 15029 15877 16226 17176 27572 30058 31754 32452 48251 55144 60116 63508 64904 96502 111139 120232 127016 130967 193004 222278 261934 301663 386008 444556 523868 603326 889112 916769 968497 1047736 1206652 1794101 1833538 1936994 2111641 2413304 3588202 3667076 3873988 4223282 6779479 7176404 7334152 7747976 8446564 12558707 13558958 14352808 16893128 18401443 25117414 27117916 34087919 36802886 50234828 54235832 68175838 73605772 100469656 109440161 128810101 136351676 147211544 218880322 238615433 257620202 272703352 437760644 477230866 515240404 766081127 875521288 954461732 1030480808 1532162254 1908923464 2079363059 3064324508 4158726118 6128649016 8317452236 14555541413 16634904472 29111082826 58222165652 116444331304