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142999984061688 = 233137322927417197
BaseRepresentation
bin100000100000111011000111…
…010000001011110011111000
3200202022122221202112001210110
4200200323013100023303320
5122220402431404433223
61224045141420544320
742056256625051605
oct4040730720136370
9622278852461713
10142999984061688
1141622a53001266
12140564313b20a0
1361a3ac0b4cb40
1427453440356ac
15117eb57632d93
hex820ec740bcf8

142999984061688 has 128 divisors (see below), whose sum is σ = 391978196366400. Its totient is φ = 43207746195456.

The previous prime is 142999984061687. The next prime is 142999984061743. The reversal of 142999984061688 is 886160489999241.

It is a self number, because there is not a number n which added to its sum of digits gives 142999984061688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142999984061687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8492895 + ... + 18924302.

Almost surely, 2142999984061688 is an apocalyptic number.

It is an amenable number.

142999984061688 is an abundant number, since it is smaller than the sum of its proper divisors (248978212304712).

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

142999984061688 is a wasteful number, since it uses less digits than its factorization.

142999984061688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27417521 (or 27417517 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 84.

The spelling of 142999984061688 in words is "one hundred forty-two trillion, nine hundred ninety-nine billion, nine hundred eighty-four million, sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 229 292 312 438 458 584 687 876 916 949 1374 1752 1832 1898 2748 2847 2977 3796 5496 5694 5954 7592 8931 11388 11908 16717 17862 22776 23816 33434 35724 50151 66868 71448 100302 133736 200604 217321 401208 434642 651963 869284 1303926 1738568 2607852 5215704 27417197 54834394 82251591 109668788 164503182 219337576 329006364 356423561 658012728 712847122 1069270683 1425694244 2001455381 2138541366 2851388488 4002910762 4277082732 6004366143 6278538113 8005821524 8554165464 12008732286 12557076226 16011643048 18835614339 24017464572 25114152452 26018919953 37671228678 48034929144 50228304904 52037839906 75342457356 78056759859 81620995469 104075679812 150684914712 156113519718 163241990938 208151359624 244862986407 312227039436 326483981876 458333282249 489725972814 624454078872 652967963752 916666564498 979451945628 1374999846747 1833333128996 1958903891256 2749999693494 3666666257992 5499999386988 5958332669237 10999998773976 11916665338474 17874998007711 23833330676948 35749996015422 47666661353896 71499992030844 142999984061688