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2040323453152 = 2517131108726339
BaseRepresentation
bin11101101100001100110…
…000010011000011100000
321020001102122112111202221
4131230030300103003200
5231412040301000102
64201151152320424
7300260055125665
oct35541460230340
97201378474687
102040323453152
11717329441a86
1228b518243114
1311a52b63681a
1470a75db7a6c
15381180a7637
hex1db0cc130e0

2040323453152 has 96 divisors (see below), whose sum is σ = 4289746728960. Its totient is φ = 951910103040.

The previous prime is 2040323453149. The next prime is 2040323453167. The reversal of 2040323453152 is 2513543230402.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77450799 + ... + 77477137.

It is an arithmetic number, because the mean of its divisors is an integer number (44684861760).

Almost surely, 22040323453152 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 2040323453152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144873364480).

2040323453152 is an abundant number, since it is smaller than the sum of its proper divisors (2249423275808).

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

2040323453152 is a wasteful number, since it uses less digits than its factorization.

2040323453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27584 (or 27576 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 2040323453152 its reverse (2513543230402), we get a palindrome (4553866683554).

The spelling of 2040323453152 in words is "two trillion, forty billion, three hundred twenty-three million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 262 272 524 544 1048 1087 2096 2174 2227 4192 4348 4454 8696 8908 17392 17816 18479 26339 34784 35632 36958 52678 71264 73916 105356 142397 147832 210712 284794 295664 421424 447763 569588 591328 842848 895526 1139176 1791052 2278352 2420749 3450409 3582104 4556704 4841498 6900818 7164208 9682996 13801636 14328416 19365992 27603272 28630493 38731984 55206544 57260986 58656953 77463968 110413088 114521972 117313906 229043944 234627812 458087888 469255624 486718381 916175776 938511248 973436762 1877022496 1946873524 3750594583 3893747048 7501189166 7787494096 15002378332 15574988192 30004756664 60009513328 63760107911 120019026656 127520215822 255040431644 510080863288 1020161726576 2040323453152