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141919029468 = 2232171391668301
BaseRepresentation
bin1000010000101100001…
…0001000100011011100
3111120022120200200021200
42010023002020203130
54311122232420333
6145110253155500
713152612563256
oct2041302104334
9446276620250
10141919029468
1155207657407
122360848bb90
13104c93292a8
146c2444acd6
153a5943cc13
hex210b0888dc

141919029468 has 72 divisors (see below), whose sum is σ = 382575014640. Its totient is φ = 44203276800.

The previous prime is 141919029467. The next prime is 141919029509. The reversal of 141919029468 is 864920919141.

141919029468 is a `hidden beast` number, since 1 + 4 + 1 + 91 + 90 + 2 + 9 + 468 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141919029467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749083 + ... + 919218.

It is an arithmetic number, because the mean of its divisors is an integer number (5313541870).

Almost surely, 2141919029468 is an apocalyptic number.

141919029468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141919029468 is an abundant number, since it is smaller than the sum of its proper divisors (240655985172).

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

141919029468 is a wasteful number, since it uses less digits than its factorization.

141919029468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668467 (or 1668462 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 141919029468 in words is "one hundred forty-one billion, nine hundred nineteen million, twenty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 139 153 204 278 306 417 556 612 834 1251 1668 2363 2502 4726 5004 7089 9452 14178 21267 28356 42534 85068 1668301 3336602 5004903 6673204 10009806 15014709 20019612 28361117 30029418 56722234 60058836 85083351 113444468 170166702 231893839 255250053 340333404 463787678 510500106 695681517 927575356 1021000212 1391363034 2087044551 2782726068 3942195263 4174089102 7884390526 8348178204 11826585789 15768781052 23653171578 35479757367 47306343156 70959514734 141919029468