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23440432340100 = 22352167467872901
BaseRepresentation
bin1010101010001101001101…
…01001001001110010000100
310001222212212000212211201110
411111012212221021302010
511033022001134340400
6121504215211125020
74636341523265406
oct525064651116204
9101885760784643
1023440432340100
117518038a68716
122766ab5443770
131010566c59c69
145b07470a6b76
152a9b1590ae50
hex1551a6a49c84

23440432340100 has 72 divisors (see below), whose sum is σ = 68227098061248. Its totient is φ = 6213352112000.

The previous prime is 23440432340099. The next prime is 23440432340203. The reversal of 23440432340100 is 104323404432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 233886351 + ... + 233986550.

It is an arithmetic number, because the mean of its divisors is an integer number (947598584184).

Almost surely, 223440432340100 is an apocalyptic number.

23440432340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23440432340100 is an abundant number, since it is smaller than the sum of its proper divisors (44786665721148).

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

23440432340100 is a wasteful number, since it uses less digits than its factorization.

23440432340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467873085 (or 467873078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23440432340100 its reverse (104323404432), we get a palindrome (23544755744532).

The spelling of 23440432340100 in words is "twenty-three trillion, four hundred forty billion, four hundred thirty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 25050 50100 467872901 935745802 1403618703 1871491604 2339364505 2807237406 4678729010 5614474812 7018093515 9357458020 11696822525 14036187030 23393645050 28072374060 35090467575 46787290100 70180935150 78134774467 140361870300 156269548934 234404323401 312539097868 390673872335 468808646802 781347744670 937617293604 1172021617005 1562695489340 1953369361675 2344043234010 3906738723350 4688086468020 5860108085025 7813477446700 11720216170050 23440432340100