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142807972482 = 2337319405799
BaseRepresentation
bin1000010100000000000…
…1001011101010000010
3111122121112101122212000
42011000001023222002
54314432320104412
6145334410244430
713213625511000
oct2050001135202
9448545348760
10142807972482
115562341745a
1223816126716
131060b550c86
146caa529a70
153aac4d34dc
hex214004ba82

142807972482 has 128 divisors (see below), whose sum is σ = 389568000000. Its totient is φ = 38654694288.

The previous prime is 142807972469. The next prime is 142807972499. The reversal of 142807972482 is 284279708241.

142807972482 is a `hidden beast` number, since 1 + 4 + 28 + 0 + 79 + 72 + 482 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 149019 + ... + 554817.

It is an arithmetic number, because the mean of its divisors is an integer number (3043500000).

Almost surely, 2142807972482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142807972482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194784000000).

142807972482 is an abundant number, since it is smaller than the sum of its proper divisors (246760027518).

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

142807972482 is a wasteful number, since it uses less digits than its factorization.

142807972482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405850 (or 405830 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 142807972482 in words is "one hundred forty-two billion, eight hundred seven million, nine hundred seventy-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 378 399 441 513 686 798 882 931 1026 1029 1197 1323 1862 2058 2394 2646 2793 3087 3591 5586 6174 6517 7182 8379 9261 13034 16758 18522 19551 25137 39102 50274 58653 117306 175959 351918 405799 811598 1217397 2434794 2840593 3652191 5681186 7304382 7710181 8521779 10956573 15420362 17043558 19884151 21913146 23130543 25565337 39768302 46261086 51130674 53971267 59652453 69391629 76696011 107942534 119304906 138783258 139189057 153392022 161913801 178957359 208174887 278378114 323827602 357914718 377798869 416349774 417567171 485741403 536872077 755597738 835134342 971482806 1073744154 1133396607 1252701513 1457224209 2266793214 2505403026 2644592083 2914448418 3400189821 3758104539 5289184166 6800379642 7516209078 7933776249 10200569463 15867552498 20401138926 23801328747 47602657494 71403986241 142807972482