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20342131344 = 243424165129
BaseRepresentation
bin10010111100011111…
…000100101010010000
31221111200022100020000
4102330133010222100
5313130041200334
613202310250000
71320045156243
oct227437045220
957450270200
1020342131344
11869966a3a7
123b38656900
131bc2537412
14dad90525a
157e0ced299
hex4bc7c4a90

20342131344 has 100 divisors (see below), whose sum is σ = 59121236460. Its totient is φ = 6752471040.

The previous prime is 20342131319. The next prime is 20342131351. The reversal of 20342131344 is 44313124302.

20342131344 is a `hidden beast` number, since 2 + 0 + 342 + 1 + 313 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7887571344 + 12454560000 = 88812^2 + 111600^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279772 + ... + 344900.

Almost surely, 220342131344 is an apocalyptic number.

20342131344 is a gapful number since it is divisible by the number (24) 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 20342131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29560618230).

20342131344 is an abundant number, since it is smaller than the sum of its proper divisors (38779105116).

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

20342131344 is a wasteful number, since it uses less digits than its factorization.

20342131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65390 (or 65375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20342131344 its reverse (44313124302), we get a palindrome (64655255646).

The spelling of 20342131344 in words is "twenty billion, three hundred forty-two million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 241 324 432 482 648 723 964 1296 1446 1928 2169 2892 3856 4338 5784 6507 8676 11568 13014 17352 19521 26028 34704 39042 52056 65129 78084 104112 130258 156168 195387 260516 312336 390774 521032 586161 781548 1042064 1172322 1563096 1758483 2344644 3126192 3516966 4689288 5275449 7033932 9378576 10550898 14067864 15696089 21101796 28135728 31392178 42203592 47088267 62784356 84407184 94176534 125568712 141264801 188353068 251137424 282529602 376706136 423794403 565059204 753412272 847588806 1130118408 1271383209 1695177612 2260236816 2542766418 3390355224 5085532836 6780710448 10171065672 20342131344