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114399033480 = 23335521203311
BaseRepresentation
bin110101010001010110…
…1101011100010001000
3101221021122222000212000
41222202231223202020
53333242123032410
6124315412151000
711156625511644
oct1524255534210
9357248860760
10114399033480
11445752aa076
121a208008460
13aa319b1cb4
145773529c24
152e983dedc0
hex1aa2b6b888

114399033480 has 128 divisors (see below), whose sum is σ = 382063910400. Its totient is φ = 30447705600.

The previous prime is 114399033467. The next prime is 114399033499. The reversal of 114399033480 is 84330993411.

114399033480 is a `hidden beast` number, since 11 + 43 + 9 + 90 + 33 + 480 = 666.

It is a super-2 number, since 2×1143990334802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 461025 + ... + 664335.

It is an arithmetic number, because the mean of its divisors is an integer number (2984874300).

Almost surely, 2114399033480 is an apocalyptic number.

114399033480 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 114399033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191031955200).

114399033480 is an abundant number, since it is smaller than the sum of its proper divisors (267664876920).

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

114399033480 is a wasteful number, since it uses less digits than its factorization.

114399033480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203852 (or 203842 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 114399033480 in words is "one hundred fourteen billion, three hundred ninety-nine million, thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 521 540 1042 1080 1563 2084 2605 3126 4168 4689 5210 6252 7815 9378 10420 12504 14067 15630 18756 20840 23445 28134 31260 37512 46890 56268 62520 70335 93780 112536 140670 187560 203311 281340 406622 562680 609933 813244 1016555 1219866 1626488 1829799 2033110 2439732 3049665 3659598 4066220 4879464 5489397 6099330 7319196 8132440 9148995 10978794 12198660 14638392 18297990 21957588 24397320 27446985 36595980 43915176 54893970 73191960 105925031 109787940 211850062 219575880 317775093 423700124 529625155 635550186 847400248 953325279 1059250310 1271100372 1588875465 1906650558 2118500620 2542200744 2859975837 3177750930 3813301116 4237001240 4766626395 5719951674 6355501860 7626602232 9533252790 11439903348 12711003720 14299879185 19066505580 22879806696 28599758370 38133011160 57199516740 114399033480