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4440100422342 = 2313317332505143
BaseRepresentation
bin100000010011100101010…
…0110111100001011000110
3120201110200020021120222110
41000213022212330023012
51040221311202003332
613235430505241450
7635533553606334
oct100471246741306
916643606246873
104440100422342
111462043a31882
125b8630793286
1326291324a120
14114c8b170b54
157a76d0c54cc
hex409ca9bc2c6

4440100422342 has 64 divisors (see below), whose sum is σ = 9885258141696. Its totient is φ = 1320310039680.

The previous prime is 4440100422341. The next prime is 4440100422343. The reversal of 4440100422342 is 2432240010444.

It is an interprime number because it is at equal distance from previous prime (4440100422341) and next prime (4440100422343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440100422341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 519823 + ... + 3024965.

It is an arithmetic number, because the mean of its divisors is an integer number (154457158464).

Almost surely, 24440100422342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440100422342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942629070848).

4440100422342 is an abundant number, since it is smaller than the sum of its proper divisors (5445157719354).

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

4440100422342 is a wasteful number, since it uses less digits than its factorization.

4440100422342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505925.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4440100422342 its reverse (2432240010444), we get a palindrome (6872340432786).

The spelling of 4440100422342 in words is "four trillion, four hundred forty billion, one hundred million, four hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 733 806 1209 1466 2199 2418 4398 9529 19058 22723 28587 45446 57174 68169 136338 295399 590798 886197 1772394 2505143 5010286 7515429 15030858 32566859 65133718 77659433 97700577 155318866 195401154 232978299 465956598 1009572629 1836269819 2019145258 3028717887 3672539638 5508809457 6057435774 11017618914 23871507647 47743015294 56924364389 71614522941 113848728778 143229045882 170773093167 341546186334 740016737057 1480033474114 2220050211171 4440100422342