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141745002176 = 26591092411429
BaseRepresentation
bin1000010000000010101…
…0010001011011000000
3111112212110020011201102
42010000222101123000
54310243210032201
6145041115153532
713145400432131
oct2040052213300
9445773204642
10141745002176
11551283a40a8
122357a1458a8
131049c266b6b
146c092a9c88
153a4901426b
hex2100a916c0

141745002176 has 112 divisors (see below), whose sum is σ = 290067492000. Its totient is φ = 68697538560.

The previous prime is 141745002167. The next prime is 141745002181. The reversal of 141745002176 is 671200547141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99191030 + ... + 99192458.

Almost surely, 2141745002176 is an apocalyptic number.

141745002176 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 141745002176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145033746000).

141745002176 is an abundant number, since it is smaller than the sum of its proper divisors (148322489824).

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

141745002176 is a wasteful number, since it uses less digits than its factorization.

141745002176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 141745002176 in words is "one hundred forty-one billion, seven hundred forty-five million, two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 109 118 218 236 241 436 472 482 872 944 964 1429 1744 1888 1928 2858 3488 3776 3856 5716 6431 6976 7712 11432 12862 14219 15424 22864 25724 26269 28438 45728 51448 52538 56876 84311 91456 102896 105076 113752 155761 168622 205792 210152 227504 311522 337244 344389 411584 420304 455008 623044 674488 688778 840608 910016 1246088 1348976 1377556 1549871 1681216 2492176 2697952 2755112 3099742 4984352 5395904 5510224 6199484 9189899 9968704 11020448 12398968 18379798 20318951 22040896 24797936 36759596 37538401 40637902 49595872 73519192 75076802 81275804 99191744 147038384 150153604 162551608 294076768 300307208 325103216 588153536 600614416 650206432 1201228832 1300412864 2214765659 2402457664 4429531318 8859062636 17718125272 35436250544 70872501088 141745002176