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23214044000040 = 23354012267212801
BaseRepresentation
bin1010100011100111100001…
…10110001010111100101000
310001012020111122021120212220
411101303300312022330220
511020314330231000130
6121212215023234040
74614105436166355
oct521636066127450
9101166448246786
1023214044000040
117440025716013
12272b054448920
13cc50c88a90aa
145a37cc4c362c
152a3cb5974410
hex151cf0d8af28

23214044000040 has 128 divisors (see below), whose sum is σ = 69846927937920. Its totient is φ = 6172221440000.

The previous prime is 23214044000029. The next prime is 23214044000087. The reversal of 23214044000040 is 4000044041232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108981640 + ... + 109194440.

It is an arithmetic number, because the mean of its divisors is an integer number (545679124515).

Almost surely, 223214044000040 is an apocalyptic number.

23214044000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214044000040 is an abundant number, since it is smaller than the sum of its proper divisors (46632883937880).

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

23214044000040 is a wasteful number, since it uses less digits than its factorization.

23214044000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215483 (or 215479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23214044000040 its reverse (4000044041232), we get a palindrome (27214088041272).

The spelling of 23214044000040 in words is "twenty-three trillion, two hundred fourteen billion, forty-four million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2267 2406 3208 4010 4534 4812 6015 6801 8020 9068 9624 11335 12030 13602 16040 18136 22670 24060 27204 34005 45340 48120 54408 68010 90680 136020 212801 272040 425602 638403 851204 909067 1064005 1276806 1702408 1818134 2128010 2553612 2727201 3192015 3636268 4256020 4545335 5107224 5454402 6384030 7272536 8512040 9090670 10908804 12768060 13636005 18181340 21817608 25536120 27272010 36362680 54544020 85333201 109088040 170666402 255999603 341332804 426666005 482419867 511999206 682665608 853332010 964839734 1023998412 1279998015 1447259601 1706664020 1929679468 2047996824 2412099335 2559996030 2894519202 3413328040 3859358936 4824198670 5119992060 5789038404 7236298005 9648397340 10239984120 11578076808 14472596010 19296794680 28945192020 57890384040 193450366667 386900733334 580351100001 773801466668 967251833335 1160702200002 1547602933336 1934503666670 2321404400004 2901755500005 3869007333340 4642808800008 5803511000010 7738014666680 11607022000020 23214044000040