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142413556725 = 33521147408091
BaseRepresentation
bin1000010010100010000…
…0100110101111110101
3111121121001020021011000
42010220200212233311
54313130332303400
6145231320433513
713201066154556
oct2045040465765
9447531207130
10142413556725
1155440816020
1223726018899
131057791637b
146c6ddba32d
153a87a74600
hex2128826bf5

142413556725 has 96 divisors (see below), whose sum is σ = 291475630080. Its totient is φ = 67579704000.

The previous prime is 142413556693. The next prime is 142413556759. The reversal of 142413556725 is 527655314241.

142413556725 is a `hidden beast` number, since 1 + 4 + 24 + 1 + 3 + 556 + 72 + 5 = 666.

It is not a de Polignac number, because 142413556725 - 25 = 142413556693 is a prime.

It is a super-2 number, since 2×1424135567252 (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 a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 144930 + ... + 553020.

It is an arithmetic number, because the mean of its divisors is an integer number (3036204480).

Almost surely, 2142413556725 is an apocalyptic number.

142413556725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142413556725 is an abundant number, since it is smaller than the sum of its proper divisors (149062073355).

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

142413556725 is a wasteful number, since it uses less digits than its factorization.

142413556725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408168 (or 408157 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 142413556725 in words is "one hundred forty-two billion, four hundred thirteen million, five hundred fifty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 47 55 75 99 135 141 165 225 235 275 297 423 495 517 675 705 825 1175 1269 1485 1551 2115 2475 2585 3525 4653 6345 7425 7755 10575 12925 13959 23265 31725 38775 69795 116325 348975 408091 1224273 2040455 3672819 4489001 6121365 10202275 11018457 13467003 18364095 19180277 22445005 30606825 40401009 55092285 57540831 67335015 91820475 95901385 112225025 121203027 172622493 202005045 210983047 275461425 287704155 336675075 479506925 517867479 606015135 632949141 863112465 1010025225 1054915235 1438520775 1898847423 2589337395 3030075675 3164745705 4315562325 5274576175 5696542269 9494237115 12946686975 15823728525 28482711345 47471185575 142413556725