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20204414142 = 23111922372251
BaseRepresentation
bin10010110100010001…
…101110010010111110
31221011002011120201220
4102310101232102332
5312334312223032
613140510414210
71313453454333
oct226421562276
957132146656
1020204414142
118628957430
123aba501366
131b9cb49153
14d994d698a
157d3b9812c
hex4b446e4be

20204414142 has 64 divisors (see below), whose sum is σ = 46611210240. Its totient is φ = 5774220000.

The previous prime is 20204414137. The next prime is 20204414179. The reversal of 20204414142 is 24141440202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243517 + ... + 315767.

It is an arithmetic number, because the mean of its divisors is an integer number (728300160).

Almost surely, 220204414142 is an apocalyptic number.

20204414142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20204414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305605120).

20204414142 is an abundant number, since it is smaller than the sum of its proper divisors (26406796098).

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

20204414142 is a wasteful number, since it uses less digits than its factorization.

20204414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72509.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20204414142 its reverse (24141440202), we get a palindrome (44345854344).

The spelling of 20204414142 in words is "twenty billion, two hundred four million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 223 418 446 627 669 1254 1338 2453 4237 4906 7359 8474 12711 14718 25422 46607 72251 93214 139821 144502 216753 279642 433506 794761 1372769 1589522 2384283 2745538 4118307 4768566 8236614 15100459 16111973 30200918 32223946 45301377 48335919 90602754 96671838 177231703 306127487 354463406 531695109 612254974 918382461 1063390218 1836764922 3367402357 6734804714 10102207071 20204414142