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114747114020 = 225711197378229
BaseRepresentation
bin110101011011101110…
…1100000001000100100
3101222011220221100120212
41222313131200020210
53340000230122040
6124414124514552
711201353243010
oct1526735401044
9358156840525
10114747114020
1144733833140
121a2a46aba58
13aa88b45606
1457a7857540
152eb8c49d65
hex1ab7760224

114747114020 has 96 divisors (see below), whose sum is σ = 301954625280. Its totient is φ = 35583690240.

The previous prime is 114747113959. The next prime is 114747114023. The reversal of 114747114020 is 20411747411.

It is not an unprimeable number, because it can be changed into a prime (114747114023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114266 + ... + 492494.

It is an arithmetic number, because the mean of its divisors is an integer number (3145360680).

Almost surely, 2114747114020 is an apocalyptic number.

114747114020 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 114747114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150977312640).

114747114020 is an abundant number, since it is smaller than the sum of its proper divisors (187207511260).

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

114747114020 is a wasteful number, since it uses less digits than its factorization.

114747114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378453 (or 378451 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 114747114020 in words is "one hundred fourteen billion, seven hundred forty-seven million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 197 220 308 385 394 770 788 985 1379 1540 1970 2167 2758 3940 4334 5516 6895 8668 10835 13790 15169 21670 27580 30338 43340 60676 75845 151690 303380 378229 756458 1512916 1891145 2647603 3782290 4160519 5295206 7564580 8321038 10590412 13238015 16642076 20802595 26476030 29123633 41605190 52952060 58247266 74511113 83210380 116494532 145618165 149022226 291236330 298044452 372555565 521577791 582472660 745111130 819622243 1043155582 1490222260 1639244486 2086311164 2607888955 3278488972 4098111215 5215777910 5737355701 8196222430 10431555820 11474711402 16392444860 22949422804 28686778505 57373557010 114747114020