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140442646230 = 23452329259949
BaseRepresentation
bin1000001011001100001…
…0001011011011010110
3111102111200121122020000
42002303002023123112
54300111304134410
6144303553152130
713101204540045
oct2026302133326
9442450548200
10140442646230
115461a237877
1223275b5b646
13103224b5743
146b2433455c
1539bea0adc0
hex20b308b6d6

140442646230 has 160 divisors (see below), whose sum is σ = 407643192000. Its totient is φ = 34587641088.

The previous prime is 140442646213. The next prime is 140442646247. The reversal of 140442646230 is 32646244041.

140442646230 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 2 + 646 + 2 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140442646213) and next prime (140442646247).

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 79 ways as a sum of consecutive naturals, for example, 410296 + ... + 670244.

It is an arithmetic number, because the mean of its divisors is an integer number (2547769950).

Almost surely, 2140442646230 is an apocalyptic number.

140442646230 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 140442646230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203821596000).

140442646230 is an abundant number, since it is smaller than the sum of its proper divisors (267200545770).

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

140442646230 is a wasteful number, since it uses less digits than its factorization.

140442646230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260020 (or 260011 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 140442646230 in words is "one hundred forty billion, four hundred forty-two million, six hundred forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 81 87 90 115 135 138 145 162 174 207 230 261 270 290 345 405 414 435 522 621 667 690 783 810 870 1035 1242 1305 1334 1566 1863 2001 2070 2349 2610 3105 3335 3726 3915 4002 4698 6003 6210 6670 7830 9315 10005 11745 12006 18009 18630 20010 23490 30015 36018 54027 60030 90045 108054 180090 259949 270135 519898 540270 779847 1299745 1559694 2339541 2599490 3899235 4679082 5978827 7018623 7538521 7798470 11697705 11957654 14037246 15077042 17936481 21055869 22615563 23395410 29894135 35093115 35872962 37692605 42111738 45231126 53809443 59788270 67846689 70186230 75385210 89682405 105279345 107618886 113077815 135693378 161428329 173385983 179364810 203540067 210558690 226155630 269047215 322856658 339233445 346771966 407080134 484284987 520157949 538094430 610620201 678466890 807141645 866929915 968569974 1017700335 1040315898 1221240402 1560473847 1614283290 1733859830 2035400670 2421424935 2600789745 3053101005 3120947694 4681421541 4842849870 5201579490 6106202010 7802369235 9362843082 14044264623 15604738470 23407107705 28088529246 46814215410 70221323115 140442646230