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2423100144140 = 2251323635363781
BaseRepresentation
bin100011010000101100000…
…001011111101000001100
322120122110000102010110222
4203100230001133220030
5304200002114103030
65053053513250512
7340030452251054
oct43205401375014
98518400363428
102423100144140
118546a39523a5
12331743403a38
13147660925b50
14853c896c564
154306c8b83e5
hex2342c05fa0c

2423100144140 has 96 divisors (see below), whose sum is σ = 5719181924736. Its totient is φ = 855635742720.

The previous prime is 2423100144133. The next prime is 2423100144181. The reversal of 2423100144140 is 414410013242.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 37959050 + ... + 38022830.

It is an arithmetic number, because the mean of its divisors is an integer number (59574811716).

Almost surely, 22423100144140 is an apocalyptic number.

2423100144140 is a gapful number since it is divisible by the number (20) 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 2423100144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859590962368).

2423100144140 is an abundant number, since it is smaller than the sum of its proper divisors (3296081780596).

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

2423100144140 is a wasteful number, since it uses less digits than its factorization.

2423100144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70179 (or 70177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2423100144140 its reverse (414410013242), we get a palindrome (2837510157382).

The spelling of 2423100144140 in words is "two trillion, four hundred twenty-three billion, one hundred million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 6353 12706 25412 31765 63530 63781 82589 127060 127562 146119 165178 255124 292238 318905 330356 412945 584476 637810 730595 825890 829153 1275620 1461190 1466963 1651780 1658306 1899547 2922380 2933926 3316612 3799094 4145765 5867852 7334815 7598188 8291530 9497735 14669630 16583060 18995470 19070519 29339260 37990940 38141038 76282076 95352595 190705190 381410380 405200693 810401386 1620802772 2026003465 4052006930 5267609009 8104013860 9319615939 10535218018 18639231878 21070436036 26338045045 37278463756 46598079695 52676090090 93196159390 105352180180 121155007207 186392318780 242310014414 484620028828 605775036035 1211550072070 2423100144140