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142182613427505 = 357612363912961
BaseRepresentation
bin100000010101000001111000…
…001010101010010100110001
3200122102112011210110200101020
4200111001320022222110301
5122114004443014140010
61222221442455330053
741643232464231330
oct4025017012522461
9618375153420336
10142182613427505
114133834264aa52
1213b43b39680929
1361449bc180c01
142717964ab1d17
151168769356470
hex8150782aa531

142182613427505 has 48 divisors (see below), whose sum is σ = 264323085167232. Its totient is φ = 63932228812800.

The previous prime is 142182613427501. The next prime is 142182613427521. The reversal of 142182613427505 is 505724316281241.

It is not a de Polignac number, because 142182613427505 - 22 = 142182613427501 is a prime.

It is a super-3 number, since 3×1421826134275053 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (142182613427501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181565776 + ... + 182347185.

It is an arithmetic number, because the mean of its divisors is an integer number (5506730940984).

Almost surely, 2142182613427505 is an apocalyptic number.

142182613427505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142182613427505 is a deficient number, since it is larger than the sum of its proper divisors (122140471739727).

142182613427505 is an equidigital number, since it uses as much as digits as its factorization.

142182613427505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363913098 (or 363913037 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 142182613427505 in words is "one hundred forty-two trillion, one hundred eighty-two billion, six hundred thirteen million, four hundred twenty-seven thousand, five hundred five".

Divisors: 1 3 5 7 15 21 35 61 105 183 305 427 915 1281 2135 3721 6405 11163 18605 26047 55815 78141 130235 390705 363912961 1091738883 1819564805 2547390727 5458694415 7642172181 12736953635 22198690621 38210860905 66596071863 110993453105 155390834347 332980359315 466172503041 776954171735 1354120127881 2330862515205 4062360383643 6770600639405 9478840895167 20311801918215 28436522685501 47394204475835 142182613427505