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4424002000040 = 235795316579231
BaseRepresentation
bin100000001100000101100…
…0100010101010010101000
3120122221010022021000011102
41000120023010111102220
51034440324003000130
613224205232220532
7634423615354460
oct100301304252250
916587108230142
104424002000040
111456232882937
125b549939a748
13261248c8355c
141141a10dcba0
157a129b3c645
hex4060b1154a8

4424002000040 has 64 divisors (see below), whose sum is σ = 11387942876160. Its totient is φ = 1515208988160.

The previous prime is 4424002000037. The next prime is 4424002000177. The reversal of 4424002000040 is 400002004244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4424001999976 and 4424002000021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8022776 + ... + 8556455.

It is an arithmetic number, because the mean of its divisors is an integer number (177936607440).

Almost surely, 24424002000040 is an apocalyptic number.

4424002000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424002000040 is an abundant number, since it is smaller than the sum of its proper divisors (6963940876120).

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

4424002000040 is a wasteful number, since it uses less digits than its factorization.

4424002000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16580202 (or 16580198 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4424002000040 its reverse (400002004244), we get a palindrome (4824004004284).

The spelling of 4424002000040 in words is "four trillion, four hundred twenty-four billion, two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 953 1906 3812 4765 6671 7624 9530 13342 19060 26684 33355 38120 53368 66710 133420 266840 16579231 33158462 66316924 82896155 116054617 132633848 165792310 232109234 331584620 464218468 580273085 663169240 928436936 1160546170 2321092340 4642184680 15800007143 31600014286 63200028572 79000035715 110600050001 126400057144 158000071430 221200100002 316000142860 442400200004 553000250005 632000285720 884800400008 1106000500010 2212001000020 4424002000040