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141924467640 = 233529191213523
BaseRepresentation
bin1000010000101101011…
…0111000001110111000
3111120022221220222001110
42010023112320032320
54311130130431030
6145111005520320
713153010033064
oct2041326701670
9446287828043
10141924467640
115520a73116a
122360a2730a0
13104ca4b1647
146c25064aa4
153a59b641b0
hex210b5b83b8

141924467640 has 128 divisors (see below), whose sum is σ = 442763366400. Its totient is φ = 36349985280.

The previous prime is 141924467591. The next prime is 141924467719. The reversal of 141924467640 is 46764429141.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 141924467640.

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, 557919 + ... + 771441.

It is an arithmetic number, because the mean of its divisors is an integer number (3459088800).

Almost surely, 2141924467640 is an apocalyptic number.

141924467640 is a gapful number since it is divisible by the number (10) 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 141924467640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221381683200).

141924467640 is an abundant number, since it is smaller than the sum of its proper divisors (300838898760).

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

141924467640 is a wasteful number, since it uses less digits than its factorization.

141924467640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213757 (or 213753 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 141924467640 in words is "one hundred forty-one billion, nine hundred twenty-four million, four hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 191 232 290 348 382 435 573 580 696 764 870 955 1146 1160 1528 1740 1910 2292 2865 3480 3820 4584 5539 5730 7640 11078 11460 16617 22156 22920 27695 33234 44312 55390 66468 83085 110780 132936 166170 213523 221560 332340 427046 640569 664680 854092 1067615 1281138 1708184 2135230 2562276 3202845 4270460 5124552 6192167 6405690 8540920 12384334 12811380 18576501 24768668 25622760 30960835 37153002 40782893 49537336 61921670 74306004 81565786 92882505 122348679 123843340 148612008 163131572 185765010 203914465 244697358 247686680 326263144 371530020 407828930 489394716 611743395 743060040 815657860 978789432 1182703897 1223486790 1631315720 2365407794 2446973580 3548111691 4730815588 4893947160 5913519485 7096223382 9461631176 11827038970 14192446764 17740558455 23654077940 28384893528 35481116910 47308155880 70962233820 141924467640