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20014414332 = 223111960713147
BaseRepresentation
bin10010101000111100…
…111011100111111100
31220122211122120222220
4102220330323213330
5311442142224312
613110002205340
71305655500123
oct225074734774
956584576886
1020014414332
1185406847a0
123a66953850
131b6c683823
14d7c198aba
157c2166c8c
hex4a8f3b9fc

20014414332 has 96 divisors (see below), whose sum is σ = 53719572480. Its totient is φ = 5735862720.

The previous prime is 20014414331. The next prime is 20014414349. The reversal of 20014414332 is 23341441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014414331) 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, 1515783 + ... + 1528929.

It is an arithmetic number, because the mean of its divisors is an integer number (559578880).

Almost surely, 220014414332 is an apocalyptic number.

20014414332 is a gapful number since it is divisible by the number (22) 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 20014414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26859786240).

20014414332 is an abundant number, since it is smaller than the sum of its proper divisors (33705158148).

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

20014414332 is a wasteful number, since it uses less digits than its factorization.

20014414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13791 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20014414332 its reverse (23341441002), we get a palindrome (43355855334).

The spelling of 20014414332 in words is "twenty billion, fourteen million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 607 627 836 1214 1254 1821 2428 2508 3642 6677 7284 11533 13147 13354 20031 23066 26294 26708 34599 39441 40062 46132 52588 69198 78882 80124 126863 138396 144617 157764 249793 253726 289234 380589 433851 499586 507452 578468 749379 761178 867702 999172 1498758 1522356 1735404 2747723 2997516 5495446 7980229 8243169 10990892 15960458 16486338 23940687 31920916 32972676 47881374 87782519 95762748 151624351 175565038 263347557 303248702 351130076 454873053 526695114 606497404 909746106 1053390228 1667867861 1819492212 3335735722 5003603583 6671471444 10007207166 20014414332