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20122414040 = 2356126331357
BaseRepresentation
bin10010101111011000…
…111010101111011000
31220221100212112202002
4102233120322233120
5312202314222130
613124421100132
71311436461101
oct225730725730
956840775662
1020122414040
11859663a553
123a96b57648
131b88b68591
14d8c66d3a8
157cb89bb45
hex4af63abd8

20122414040 has 64 divisors (see below), whose sum is σ = 46194096960. Its totient is φ = 7886661120.

The previous prime is 20122414003. The next prime is 20122414049. The reversal of 20122414040 is 4041422102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122414049) 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, 626042 + ... + 657398.

It is an arithmetic number, because the mean of its divisors is an integer number (721782765).

Almost surely, 220122414040 is an apocalyptic number.

20122414040 is a gapful number since it is divisible by the number (20) 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 20122414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097048480).

20122414040 is an abundant number, since it is smaller than the sum of its proper divisors (26071682920).

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

20122414040 is a wasteful number, since it uses less digits than its factorization.

20122414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31692 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20122414040 its reverse (4041422102), we get a palindrome (24163836142).

The spelling of 20122414040 in words is "twenty billion, one hundred twenty-two million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 263 305 488 526 610 1052 1220 1315 2104 2440 2630 5260 10520 16043 31357 32086 62714 64172 80215 125428 128344 156785 160430 250856 313570 320860 627140 641720 1254280 1912777 3825554 7651108 8246891 9563885 15302216 16493782 19127770 32987564 38255540 41234455 65975128 76511080 82468910 164937820 329875640 503060351 1006120702 2012241404 2515301755 4024482808 5030603510 10061207020 20122414040