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140054613006 = 237112925141647
BaseRepresentation
bin1000001001101111100…
…1111100110000001110
3111101111122110111201010
42002123321330300032
54243312440104011
6144201252230050
713055453365620
oct2023371746016
9441448414633
10140054613006
11544401a5760
122318800b326
131028cca3c99
146ac89a6c10
15399a90d1a6
hex209be7cc0e

140054613006 has 128 divisors (see below), whose sum is σ = 362717429760. Its totient is φ = 34982640000.

The previous prime is 140054612987. The next prime is 140054613029. The reversal of 140054613006 is 600316450041.

140054613006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3342075 + ... + 3383721.

It is an arithmetic number, because the mean of its divisors is an integer number (2833729920).

Almost surely, 2140054613006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140054613006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181358714880).

140054613006 is an abundant number, since it is smaller than the sum of its proper divisors (222662816754).

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

140054613006 is a wasteful number, since it uses less digits than its factorization.

140054613006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41950.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 140054613006 in words is "one hundred forty billion, fifty-four million, six hundred thirteen thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 251 319 406 462 502 609 638 753 957 1218 1506 1757 1914 2233 2761 3514 4466 5271 5522 6699 7279 8283 10542 13398 14558 16566 19327 21837 38654 41647 43674 50953 57981 80069 83294 101906 115962 124941 152859 160138 240207 249882 291529 305718 458117 480414 560483 583058 874587 916234 1120966 1207763 1374351 1681449 1749174 2415526 2748702 3206819 3362898 3623289 6413638 7246578 8454341 9620457 10453397 13285393 16908682 19240914 20906794 25363023 26570786 31360191 39856179 50726046 62720382 73173779 79712358 92997751 114987367 146347558 185995502 219521337 229974734 278993253 303148513 344962101 439042674 557986506 606297026 689924202 804911569 909445539 1609823138 1818891078 2122039591 2414734707 3334633643 4244079182 4829469414 6366118773 6669267286 10003900929 12732237546 20007801858 23342435501 46684871002 70027306503 140054613006