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114241055540352 = 2731339371581261
BaseRepresentation
bin11001111110011011010001…
…100010001100010010000000
3112222111100010120202201012020
4121332123101202030102000
5104433211140204242402
61042545341050401440
733030433566022626
oct3176332142142200
9488440116681166
10114241055540352
11334453a565a0a4
1210990822430280
134b98b680538b0
14202d421bb7516
15d31a1312b8bc
hex67e6d188c480

114241055540352 has 128 divisors (see below), whose sum is σ = 326804189785920. Its totient is φ = 35150140723200.

The previous prime is 114241055540347. The next prime is 114241055540401. The reversal of 114241055540352 is 253045550142411.

114241055540352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196249402 + ... + 196830662.

Almost surely, 2114241055540352 is an apocalyptic number.

114241055540352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114241055540352 is an abundant number, since it is smaller than the sum of its proper divisors (212563134245568).

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

114241055540352 is a wasteful number, since it uses less digits than its factorization.

114241055540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620662 (or 620650 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 114241055540352 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-five million, five hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 39371 78742 118113 157484 236226 314968 472452 511823 581261 629936 944904 1023646 1162522 1259872 1535469 1743783 1889808 2047292 2325044 2519744 3070938 3487566 3779616 4094584 4650088 5039488 6141876 6975132 7556393 7559232 8189168 9300176 12283752 13950264 15112786 15118464 16378336 18600352 22669179 24567504 27900528 30225572 32756672 37200704 45338358 49135008 55801056 60451144 65513344 74401408 90676716 98270016 111602112 120902288 181353432 196540032 223204224 241804576 362706864 483609152 725413728 967218304 1450827456 2901654912 22884826831 45769653662 68654480493 91539307324 137308960986 183078614648 274617921972 297502748803 366157229296 549235843944 595005497606 732314458592 892508246409 1098471687888 1190010995212 1464628917184 1785016492818 2196943375776 2380021990424 2929257834368 3570032985636 4393886751552 4760043980848 7140065971272 8787773503104 9520087961696 14280131942544 19040175923392 28560263885088 38080351846784 57120527770176 114241055540352