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20314242032 = 2472832631187
BaseRepresentation
bin10010111010110100…
…101011101111110000
31221102201211102021112
4102322310223233300
5313100421221112
613155432412452
71316256131300
oct227264535760
957381742245
1020314242032
118684950787
123b2b247128
131bb9821076
14da9d25600
157dd63ea22
hex4bad2bbf0

20314242032 has 120 divisors (see below), whose sum is σ = 46551770496. Its totient is φ = 8561288064.

The previous prime is 20314242023. The next prime is 20314242083. The reversal of 20314242032 is 23024241302.

It is a junction number, because it is equal to n+sod(n) for n = 20314241989 and 20314242007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17113343 + ... + 17114529.

Almost surely, 220314242032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275885248).

20314242032 is an abundant number, since it is smaller than the sum of its proper divisors (26237528464).

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

20314242032 is a wasteful number, since it uses less digits than its factorization.

20314242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20314242032 its reverse (23024241302), we get a palindrome (43338483334).

The spelling of 20314242032 in words is "twenty billion, three hundred fourteen million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 263 332 392 526 581 664 784 1052 1162 1187 1328 1841 2104 2324 2374 3682 4067 4208 4648 4748 7364 8134 8309 9296 9496 12887 14728 16268 16618 18992 21829 25774 29456 32536 33236 43658 51548 58163 65072 66472 87316 98521 103096 116326 132944 152803 174632 197042 206192 232652 305606 312181 349264 394084 465304 611212 624362 689647 788168 930608 1069621 1222424 1248724 1379294 1576336 2139242 2185267 2444848 2497448 2758588 4278484 4370534 4827529 4994896 5517176 8556968 8741068 9655058 11034352 15296869 17113936 17482136 19310116 25911023 30593738 34964272 38620232 51822046 61187476 77240464 103644092 122374952 181377161 207288184 244749904 362754322 414576368 725508644 1269640127 1451017288 2539280254 2902034576 5078560508 10157121016 20314242032