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15142282428078 = 23313472521182047
BaseRepresentation
bin1101110001011001011001…
…0111010111111010101110
31222121120212200211121201000
43130112112113113322232
53441042343300144303
652112133555501130
73121664605653141
oct334262627277256
958546780747630
1015142282428078
114908895743713
1218468138b77a6
1385abac913720
143a4c672ba058
151b3d43935da3
hexdc5965d7eae

15142282428078 has 128 divisors (see below), whose sum is σ = 37023844515840. Its totient is φ = 4558198821120.

The previous prime is 15142282428043. The next prime is 15142282428103. The reversal of 15142282428078 is 87082428224151.

15142282428078 is a `hidden beast` number, since 1 + 5 + 14 + 2 + 282 + 4 + 280 + 78 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83086851 + ... + 83268897.

It is an arithmetic number, because the mean of its divisors is an integer number (289248785280).

Almost surely, 215142282428078 is an apocalyptic number.

15142282428078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15142282428078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511922257920).

15142282428078 is an abundant number, since it is smaller than the sum of its proper divisors (21881562087762).

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

15142282428078 is a wasteful number, since it uses less digits than its factorization.

15142282428078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184639 (or 184633 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 15142282428078 in words is "fifteen trillion, one hundred forty-two billion, two hundred eighty-two million, four hundred twenty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2521 2538 3666 5042 5499 7563 10998 15126 16497 22689 32773 32994 45378 65546 68067 98319 118487 136134 182047 196638 236974 294957 355461 364094 546141 589914 710922 884871 1066383 1092282 1540331 1638423 1769742 2132766 2366611 3080662 3199149 3276846 4620993 4733222 4915269 6398298 7099833 8556209 9241986 9830538 13862979 14199666 17112418 21299499 25668627 27725958 41588937 42598998 51337254 63898497 77005881 83177874 111230717 127796994 154011762 222461434 231017643 333692151 458940487 462035286 667384302 917880974 1001076453 1376821461 2002152906 2753642922 3003229359 4130464383 5966226331 6006458718 8260928766 11932452662 12391393149 17898678993 21570202889 24782786298 35797357986 43140405778 53696036979 64710608667 107392073958 129421217334 161088110937 194131826001 280412637557 322176221874 388263652002 560825275114 582395478003 841237912671 1164790956006 1682475825342 2523713738013 5047427476026 7571141214039 15142282428078