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114643425150 = 232523713152561
BaseRepresentation
bin110101011000101000…
…1111101011101111110
3101221220200211102012100
41222301101331131332
53334242204101100
6124355542245530
711165654015052
oct1526121753576
9357820742170
10114643425150
1144690252161
121a275a268a6
13aa7050ca57
145797b85c62
152eaeab7400
hex1ab147d77e

114643425150 has 144 divisors (see below), whose sum is σ = 318754049328. Its totient is φ = 29517696000.

The previous prime is 114643425133. The next prime is 114643425179. The reversal of 114643425150 is 51524346411.

114643425150 is a `hidden beast` number, since 1 + 1 + 4 + 643 + 4 + 2 + 5 + 1 + 5 + 0 = 666.

114643425150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1146434251502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2154870 + ... + 2207430.

It is an arithmetic number, because the mean of its divisors is an integer number (2213569787).

Almost surely, 2114643425150 is an apocalyptic number.

114643425150 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 114643425150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159377024664).

114643425150 is an abundant number, since it is smaller than the sum of its proper divisors (204110624178).

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

114643425150 is a wasteful number, since it uses less digits than its factorization.

114643425150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52747 (or 52739 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 114643425150 in words is "one hundred fourteen billion, six hundred forty-three million, four hundred twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 131 150 185 222 225 262 333 370 393 450 555 655 666 786 925 1110 1179 1310 1665 1850 1965 2358 2775 3275 3330 3930 4847 5550 5895 6550 8325 9694 9825 11790 14541 16650 19650 24235 29082 29475 43623 48470 52561 58950 72705 87246 105122 121175 145410 157683 218115 242350 262805 315366 363525 436230 473049 525610 727050 788415 946098 1090575 1314025 1576830 1944757 2181150 2365245 2628050 3889514 3942075 4730490 5834271 6885491 7884150 9723785 11668542 11826225 13770982 17502813 19447570 20656473 23652450 29171355 34427455 35005626 41312946 48618925 58342710 61969419 68854910 87514065 97237850 103282365 123938838 145856775 172137275 175028130 206564730 254763167 291713550 309847095 344274550 437570325 509526334 516411825 619694190 764289501 875140650 1032823650 1273815835 1528579002 1549235475 2292868503 2547631670 3098470950 3821447505 4585737006 6369079175 7642895010 11464342515 12738158350 19107237525 22928685030 38214475050 57321712575 114643425150