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142526361072 = 24353223251231
BaseRepresentation
bin1000010010111100111…
…0111010110111110000
3111121212220111022121210
42010233032322313300
54313343222023242
6145250430320120
713203636036324
oct2045716726760
9447786438553
10142526361072
1155499462657
1223757959040
13105950c0cc4
146c80d81984
153a92907d9c
hex212f3badf0

142526361072 has 80 divisors (see below), whose sum is σ = 376823881728. Its totient is φ = 46403185920.

The previous prime is 142526361041. The next prime is 142526361077. The reversal of 142526361072 is 270163625241.

It is a super-2 number, since 2×1425263610722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142526361072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142526361077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441697 + ... + 692927.

Almost surely, 2142526361072 is an apocalyptic number.

142526361072 is a gapful number since it is divisible by the number (12) 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 142526361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188411940864).

142526361072 is an abundant number, since it is smaller than the sum of its proper divisors (234297520656).

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

142526361072 is a wasteful number, since it uses less digits than its factorization.

142526361072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251518 (or 251512 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 142526361072 in words is "one hundred forty-two billion, five hundred twenty-six million, three hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 223 318 424 446 636 669 848 892 1272 1338 1784 2544 2676 3568 5352 10704 11819 23638 35457 47276 70914 94552 141828 189104 251231 283656 502462 567312 753693 1004924 1507386 2009848 3014772 4019696 6029544 12059088 13315243 26630486 39945729 53260972 56024513 79891458 106521944 112049026 159782916 168073539 213043888 224098052 319565832 336147078 448196104 639131664 672294156 896392208 1344588312 2689176624 2969299189 5938598378 8907897567 11877196756 17815795134 23754393512 35631590268 47508787024 71263180536 142526361072