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142352575995984 = 243232774211110543
BaseRepresentation
bin100000010111100000001010…
…101110011010000001010000
3200200000202212210000202002220
4200113200022232122001100
5122124301033423332414
61222431512015141040
741661430352226564
oct4027401256320120
9620022783022086
10142352575995984
11413a3430031282
1213b70a71814780
136157a37430563
142721c897a36a4
15116cdb575aca9
hex81780ab9a050

142352575995984 has 160 divisors (see below), whose sum is σ = 385213288771584. Its totient is φ = 45212774576640.

The previous prime is 142352575995977. The next prime is 142352575996039. The reversal of 142352575995984 is 489599575253241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287702217 + ... + 1287812759.

Almost surely, 2142352575995984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142352575995984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192606644385792).

142352575995984 is an abundant number, since it is smaller than the sum of its proper divisors (242860712775600).

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

142352575995984 is a wasteful number, since it uses less digits than its factorization.

142352575995984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115065 (or 115059 counting only the distinct ones).

The product of its digits is 4898880000, while the sum is 78.

The spelling of 142352575995984 in words is "one hundred forty-two trillion, three hundred fifty-two billion, five hundred seventy-five million, nine hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 277 368 552 554 831 1104 1108 1662 2216 3324 4211 4432 6371 6648 8422 12633 12742 13296 16844 19113 25266 25484 33688 38226 50532 50968 67376 76452 96853 101064 101936 110543 152904 193706 202128 221086 290559 305808 331629 387412 442172 581118 663258 774824 884344 1162236 1166447 1326516 1549648 1768688 2324472 2332894 2542489 2653032 3499341 4648944 4665788 5084978 5306064 6998682 7627467 9331576 10169956 13997364 15254934 18663152 20339912 26828281 27994728 30509868 30620411 40679824 53656562 55989456 61019736 61240822 80484843 91861233 107313124 122039472 122481644 160969686 183722466 214626248 244963288 321939372 367444932 429252496 465496573 489926576 643878744 704269453 734889864 930993146 1287757488 1396489719 1408538906 1469779728 1861986292 2112808359 2792979438 2817077812 3723972584 4225616718 5585958876 5634155624 7447945168 8451233436 10706421179 11171917752 11268311248 16902466872 21412842358 22343835504 32119263537 33804933744 42825684716 64238527074 85651369432 128477054148 128942550721 171302738864 256954108296 257885101442 386827652163 513908216592 515770202884 773655304326 1031540405768 1547310608652 2063080811536 2965678666583 3094621217304 5931357333166 6189242434608 8897035999749 11862714666332 17794071999498 23725429332664 35588143998996 47450858665328 71176287997992 142352575995984