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114959337048 = 23331737383933
BaseRepresentation
bin110101100010000011…
…1000100011001011000
3101222201201021101212000
41223010013010121120
53340414042241143
6124451145321000
711206541146023
oct1530407043130
9358651241760
10114959337048
1144832604476
121a343796160
13aac0abc27a
1457c7adc1ba
152ecc6babd3
hex1ac41c4658

114959337048 has 128 divisors (see below), whose sum is σ = 339026212800. Its totient is φ = 35968555008.

The previous prime is 114959337043. The next prime is 114959337109. The reversal of 114959337048 is 840733959411.

114959337048 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 593 + 3 + 7 + 0 + 48 = 666.

114959337048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114959336985 and 114959337003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114959337043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327690 + ... + 1411622.

Almost surely, 2114959337048 is an apocalyptic number.

114959337048 is a gapful number since it is divisible by the number (18) 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 114959337048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513106400).

114959337048 is an abundant number, since it is smaller than the sum of its proper divisors (224066875752).

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

114959337048 is a wasteful number, since it uses less digits than its factorization.

114959337048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84338 (or 84328 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 114959337048 in words is "one hundred fourteen billion, nine hundred fifty-nine million, three hundred thirty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 373 408 459 612 746 918 1119 1224 1492 1836 2238 2984 3357 3672 4476 6341 6714 8952 10071 12682 13428 19023 20142 25364 26856 38046 40284 50728 57069 76092 80568 83933 114138 152184 167866 171207 228276 251799 335732 342414 456552 503598 671464 684828 755397 1007196 1369656 1426861 1510794 2014392 2266191 2853722 3021588 4280583 4532382 5707444 6043176 8561166 9064764 11414888 12841749 17122332 18129528 25683498 31307009 34244664 38525247 51366996 62614018 77050494 93921027 102733992 125228036 154100988 187842054 250456072 281763081 308201976 375684108 532219153 563526162 751368216 845289243 1064438306 1127052324 1596657459 1690578486 2128876612 2254104648 3193314918 3381156972 4257753224 4789972377 6386629836 6762313944 9579944754 12773259672 14369917131 19159889508 28739834262 38319779016 57479668524 114959337048