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10320311140144 = 242937823730421
BaseRepresentation
bin1001011000101110001001…
…1110101011111100110000
31100112121112020011002212021
42112023202132223330300
52323041444122441034
633541030244241224
72113421634201655
oct226134236537460
940477466132767
1010320311140144
113319901652555
1211a818b3a0214
1359b27cc60345
142797119c9c2c
1512d6c582c6b4
hex962e27abf30

10320311140144 has 80 divisors (see below), whose sum is σ = 21270005507520. Its totient is φ = 4841667855360.

The previous prime is 10320311140129. The next prime is 10320311140151. The reversal of 10320311140144 is 44104111302301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13764054 + ... + 14494474.

It is an arithmetic number, because the mean of its divisors is an integer number (265875068844).

Almost surely, 210320311140144 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 10320311140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635002753760).

10320311140144 is an abundant number, since it is smaller than the sum of its proper divisors (10949694367376).

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

10320311140144 is a wasteful number, since it uses less digits than its factorization.

10320311140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731318 (or 731312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10320311140144 its reverse (44104111302301), we get a palindrome (54424422442445).

The spelling of 10320311140144 in words is "ten trillion, three hundred twenty billion, three hundred eleven million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 823 1073 1646 2146 3292 4292 6584 8584 13168 17168 23867 30451 47734 60902 95468 121804 190936 243608 381872 487216 730421 883079 1460842 1766158 2921684 3532316 5843368 7064632 11686736 14129264 21182209 27025577 42364418 54051154 84728836 108102308 169457672 216204616 338915344 432409232 601136483 783741733 1202272966 1567483466 2404545932 3134966932 4809091864 6269933864 9618183728 12539867728 17432958007 22242049871 34865916014 44484099742 69731832028 88968199484 139463664056 177936398968 278927328112 355872797936 645019446259 1290038892518 2580077785036 5160155570072 10320311140144