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42424424240 = 2451153039091
BaseRepresentation
bin100111100000101100…
…010101011100110000
311001111122001001022212
4213200230111130300
51143341123033430
631253422351252
73031213441022
oct474054253460
9131448031285
1042424424240
1116aa0532940
12827ba2b528
134001440313
1420a6588012
151184784b95
hex9e0b15730

42424424240 has 80 divisors (see below), whose sum is σ = 107635896576. Its totient is φ = 15422457600.

The previous prime is 42424424213. The next prime is 42424424243. The reversal of 42424424240 is 4242442424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42424424197 and 42424424206.

It is not an unprimeable number, because it can be changed into a prime (42424424243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4662095 + ... + 4671185.

Almost surely, 242424424240 is an apocalyptic number.

42424424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424424240 is an abundant number, since it is smaller than the sum of its proper divisors (65211472336).

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

42424424240 is a wasteful number, since it uses less digits than its factorization.

42424424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42424424240 its reverse (4242442424), we get a palindrome (46666866664).

It can be divided in two parts, 42424 and 424240, that added together give a palindrome (466664).

The spelling of 42424424240 in words is "forty-two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 5303 9091 10606 18182 21212 26515 36364 42424 45455 53030 58333 72728 84848 90910 100001 106060 116666 145456 181820 200002 212120 233332 291665 363640 400004 424240 466664 500005 583330 727280 800008 933328 1000010 1166660 1600016 2000020 2333320 4000040 4666640 8000080 48209573 96419146 192838292 241047865 385676584 482095730 530305303 771353168 964191460 1060610606 1928382920 2121221212 2651526515 3856765840 4242442424 5303053030 8484884848 10606106060 21212212120 42424424240