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142682914336 = 2517312475807
BaseRepresentation
bin1000010011100010010…
…0000111111000100000
3111122021211002001022211
42010320210013320200
54314203311224321
6145314142011504
713210546521664
oct2047044077040
9448254061284
10142682914336
1155569870416
12237a0276b94
13105bb675981
146c97a948a4
153aa152e0e1
hex2138907e20

142682914336 has 144 divisors (see below), whose sum is σ = 313928068608. Its totient is φ = 63585454080.

The previous prime is 142682914307. The next prime is 142682914337. The reversal of 142682914336 is 633419286241.

It is a self number, because there is not a number n which added to its sum of digits gives 142682914336.

It is not an unprimeable number, because it can be changed into a prime (142682914337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24567945 + ... + 24573751.

It is an arithmetic number, because the mean of its divisors is an integer number (2180056032).

Almost surely, 2142682914336 is an apocalyptic number.

142682914336 is a gapful number since it is divisible by the number (16) 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 142682914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156964034304).

142682914336 is an abundant number, since it is smaller than the sum of its proper divisors (171245154272).

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

142682914336 is a wasteful number, since it uses less digits than its factorization.

142682914336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5904 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The spelling of 142682914336 in words is "one hundred forty-two billion, six hundred eighty-two million, nine hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 32 34 47 62 68 94 124 136 188 248 272 376 496 527 544 752 799 961 992 1054 1457 1504 1598 1922 2108 2914 3196 3844 4216 5807 5828 6392 7688 8432 11614 11656 12784 15376 16337 16864 23228 23312 24769 25568 30752 32674 45167 46456 46624 49538 65348 90334 92912 98719 99076 130696 180017 180668 185824 197438 198152 261392 272929 360034 361336 394876 396304 522784 545858 720068 722672 767839 789752 792608 1091716 1440136 1445344 1535678 1579504 2183432 2880272 3060289 3071356 3159008 4366864 4639793 5580527 5760544 6120578 6142712 8460799 8733728 9279586 11161054 12241156 12285424 16921598 18559172 22322108 24482312 24570848 33843196 37118344 44644216 48964624 67686392 74236688 89288432 94868959 97929248 135372784 143833583 148473376 178576864 189737918 262284769 270745568 287667166 379475836 524569538 575334332 758951672 1049139076 1150668664 1517903344 2098278152 2301337328 3035806688 4196556304 4458841073 4602674656 8393112608 8917682146 17835364292 35670728584 71341457168 142682914336