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141948987570 = 23351352617687
BaseRepresentation
bin1000010000110011010…
…0011010100010110010
3111120101200001201002000
42010030310122202302
54311202420100240
6145113243234430
713153425325545
oct2041464324262
9446350051060
10141948987570
1155222559375
1223616518a16
13105025b8190
146c2840885c
153a5bda9430
hex210cd1a8b2

141948987570 has 128 divisors (see below), whose sum is σ = 407778900480. Its totient is φ = 34930103040.

The previous prime is 141948987559. The next prime is 141948987571. The reversal of 141948987570 is 75789849141.

141948987570 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 489 + 87 + 5 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141948987498 and 141948987507.

It is not an unprimeable number, because it can be changed into a prime (141948987571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18462267 + ... + 18469953.

It is an arithmetic number, because the mean of its divisors is an integer number (3185772660).

Almost surely, 2141948987570 is an apocalyptic number.

141948987570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141948987570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203889450240).

141948987570 is an abundant number, since it is smaller than the sum of its proper divisors (265829912910).

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

141948987570 is a wasteful number, since it uses less digits than its factorization.

141948987570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 141948987570 in words is "one hundred forty-one billion, nine hundred forty-eight million, nine hundred eighty-seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 5261 7687 10522 15374 15783 23061 26305 31566 38435 46122 47349 52610 68393 69183 76870 78915 94698 99931 115305 136786 138366 142047 157830 199862 205179 207549 230610 236745 284094 299793 341965 345915 410358 415098 473490 499655 599586 615537 683930 691830 710235 899379 999310 1025895 1037745 1231074 1420470 1498965 1798758 1846611 2051790 2075490 2698137 2997930 3077685 3693222 4496895 5396274 6155370 8993790 9233055 13490685 18466110 26981370 40441307 80882614 121323921 202206535 242647842 363971763 404413070 525736991 606619605 727943526 1051473982 1091915289 1213239210 1577210973 1819858815 2183830578 2628684955 3154421946 3639717630 4731632919 5257369910 5459576445 7886054865 9463265838 10919152890 14194898757 15772109730 23658164595 28389797514 47316329190 70974493785 141948987570