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1123446141328 = 24727989203807
BaseRepresentation
bin10000010110010010100…
…110111011000110010000
310222101210220010011011111
4100112102212323012100
5121401304203010303
62220034245423104
7144111020432500
oct20262246730620
93871726104144
101123446141328
113a34a6070aa5
12161893a0aa94
1381c2c412994
143c53732ba00
151e35403ab6d
hex105929bb190

1123446141328 has 120 divisors (see below), whose sum is σ = 2592926899200. Its totient is φ = 470038593024.

The previous prime is 1123446141313. The next prime is 1123446141341. The reversal of 1123446141328 is 8231416443211.

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 23 ways as a sum of consecutive naturals, for example, 5410401 + ... + 5614207.

It is an arithmetic number, because the mean of its divisors is an integer number (21607724160).

Almost surely, 21123446141328 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 1123446141328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296463449600).

1123446141328 is an abundant number, since it is smaller than the sum of its proper divisors (1469480757872).

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

1123446141328 is a wasteful number, since it uses less digits than its factorization.

1123446141328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203997 (or 203984 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The spelling of 1123446141328 in words is "one trillion, one hundred twenty-three billion, four hundred forty-six million, one hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 89 98 112 158 178 196 316 356 392 553 623 632 712 784 1106 1246 1264 1424 2212 2492 3871 4361 4424 4984 7031 7742 8722 8848 9968 14062 15484 17444 28124 30968 34888 49217 56248 61936 69776 98434 112496 196868 203807 344519 393736 407614 689038 787472 815228 1378076 1426649 1630456 2756152 2853298 3260912 5512304 5706596 9986543 11413192 16100753 18138823 19973086 22826384 32201506 36277646 39946172 64403012 72555292 79892344 112705271 126971761 128806024 145110584 159784688 225410542 253943522 257612048 290221168 450821084 507887044 788936897 888802327 901642168 1015774088 1432967017 1577873794 1777604654 1803284336 2031548176 2865934034 3155747588 3555209308 5731868068 6311495176 7110418616 10030769119 11463736136 12622990352 14220837232 20061538238 22927472272 40123076476 70215383833 80246152952 140430767666 160492305904 280861535332 561723070664 1123446141328