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4520413016040 = 23351511240120117
BaseRepresentation
bin100000111000111110110…
…0111001010111111101000
3121000010222100121001220210
41001301331213022333220
51043030301213003130
613340352111021120
7644406022441665
oct101617547127750
917003870531823
104520413016040
111493107334159
1261010520a7a0
1326a37206c00c
14118b0963aa6c
157c8bdc3e5b0
hex41c7d9cafe8

4520413016040 has 128 divisors (see below), whose sum is σ = 13652828017920. Its totient is φ = 1197304320000.

The previous prime is 4520413016039. The next prime is 4520413016047. The reversal of 4520413016040 is 406103140254.

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

It is a junction number, because it is equal to n+sod(n) for n = 4520413015989 and 4520413016007.

It is not an unprimeable number, because it can be changed into a prime (4520413016047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224696062 + ... + 224716178.

It is an arithmetic number, because the mean of its divisors is an integer number (106662718890).

Almost surely, 24520413016040 is an apocalyptic number.

4520413016040 is a gapful number since it is divisible by the number (40) 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 4520413016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826414008960).

4520413016040 is an abundant number, since it is smaller than the sum of its proper divisors (9132415001880).

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

4520413016040 is a wasteful number, since it uses less digits than its factorization.

4520413016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32683 (or 32679 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4520413016040 its reverse (406103140254), we get a palindrome (4926516156294).

The spelling of 4520413016040 in words is "four trillion, five hundred twenty billion, four hundred thirteen million, sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 12401 18120 20117 24802 37203 40234 49604 60351 62005 74406 80468 99208 100585 120702 124010 148812 160936 186015 201170 241404 248020 297624 301755 372030 402340 482808 496040 603510 744060 804680 1207020 1488120 1872551 2414040 3037667 3745102 5617653 6075334 7490204 9113001 9362755 11235306 12150668 14980408 15188335 18226002 18725510 22470612 24301336 28088265 30376670 36452004 37451020 44941224 45565005 56176530 60753340 72904008 74902040 91130010 112353060 121506680 182260020 224706120 249470917 364520040 498941834 748412751 997883668 1247354585 1496825502 1995767336 2494709170 2993651004 3742063755 4989418340 5987302008 7484127510 9978836680 14968255020 29936510040 37670108467 75340216934 113010325401 150680433868 188350542335 226020650802 301360867736 376701084670 452041301604 565051627005 753402169340 904082603208 1130103254010 1506804338680 2260206508020 4520413016040