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1123442324032 = 2672433782601
BaseRepresentation
bin10000010110010010011…
…000010111001001000000
310222101210121221012211011
4100112102120113021000
5121401302213332112
62220034031530304
7144110643123400
oct20262230271100
93871717835734
101123442324032
113a34a39a4006
12161892689994
1381c2b6a7322
143c536a16800
151e353a34aa7
hex10592617240

1123442324032 has 84 divisors (see below), whose sum is σ = 2593932598764. Its totient is φ = 481358438400.

The previous prime is 1123442324023. The next prime is 1123442324063. The reversal of 1123442324032 is 2304232443211.

It can be written as a sum of positive squares in 2 ways, for example, as 118187438656 + 1005254885376 = 343784^2 + 1002624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1123442323985 and 1123442324003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13559532 + ... + 13642132.

Almost surely, 21123442324032 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 1123442324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296966299382).

1123442324032 is an abundant number, since it is smaller than the sum of its proper divisors (1470490274732).

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

1123442324032 is an equidigital number, since it uses as much as digits as its factorization.

1123442324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86964 (or 86947 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1123442324032 its reverse (2304232443211), we get a palindrome (3427674767243).

The spelling of 1123442324032 in words is "one trillion, one hundred twenty-three billion, four hundred forty-two million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4337 8674 17348 30359 34696 60718 69392 82601 121436 138784 165202 212513 242872 277568 330404 425026 485744 578207 660808 850052 971488 1156414 1321616 1700104 1942976 2312828 2643232 3400208 4047449 4625656 5286464 6800416 8094898 9251312 13600832 16189796 18502624 32379592 37005248 64759184 129518368 259036736 358240537 716481074 1432962148 2507683759 2865924296 5015367518 5731848592 10030735036 11463697184 17553786313 20061470072 22927394368 35107572626 40122940144 70215145252 80245880288 140430290504 160491760576 280860581008 561721162016 1123442324032