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142626424803525 = 325213172868304169
BaseRepresentation
bin100000011011011111001101…
…011000101101000011000101
3200200222221201202212112212100
4200123133031120231003011
5122143242404222203100
61223201401445342313
742020263523542515
oct4033371530550305
9620887652775770
10142626424803525
11414995885a1623
1213bb5b59107999
1361777ca38cb90
1427312276d5845
15117509214d400
hex81b7cd62d0c5

142626424803525 has 72 divisors (see below), whose sum is σ = 291293498288520. Its totient is φ = 66085728030720.

The previous prime is 142626424803509. The next prime is 142626424803601. The reversal of 142626424803525 is 525308424626241.

142626424803525 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 264 + 24 + 8 + 0 + 352 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 56555197861761 + 86071226941764 = 7520319^2 + 9277458^2 .

It is not a de Polignac number, because 142626424803525 - 24 = 142626424803509 is a prime.

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, 1434102360 + ... + 1434201809.

It is an arithmetic number, because the mean of its divisors is an integer number (4045743031785).

Almost surely, 2142626424803525 is an apocalyptic number.

142626424803525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142626424803525 is an abundant number, since it is smaller than the sum of its proper divisors (148667073484995).

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

142626424803525 is a wasteful number, since it uses less digits than its factorization.

142626424803525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868304215 (or 2868304207 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 142626424803525 in words is "one hundred forty-two trillion, six hundred twenty-six billion, four hundred twenty-four million, eight hundred three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1989 2925 3315 3825 5525 9945 16575 49725 2868304169 8604912507 14341520845 25814737521 37287954197 43024562535 48761170873 71707604225 111863862591 129073687605 146283512619 186439770985 215122812675 243805854365 335591587773 438850537857 559319312955 633895221349 645368438025 731417563095 932198854925 1219029271825 1677957938865 1901685664047 2194252689285 2796596564775 3169476106745 3657087815475 5705056992141 8389789694325 9508428320235 10971263446425 15847380533725 28525284960705 47542141601175 142626424803525