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14323271248 = 24111331892269
BaseRepresentation
bin11010101011011101…
…11100011001010000
31100222012202120100201
431111232330121100
5213313224134443
610325141224544
71014641540206
oct152556743120
940865676321
1014323271248
116090127760
122938a02154
131473597040
1499c3c7076
1558c6dc34d
hex355bbc650

14323271248 has 160 divisors (see below), whose sum is σ = 34047820800. Its totient is φ = 5748019200.

The previous prime is 14323271219. The next prime is 14323271297. The reversal of 14323271248 is 84217232341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6311458 + ... + 6313726.

It is an arithmetic number, because the mean of its divisors is an integer number (212798880).

Almost surely, 214323271248 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 14323271248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023910400).

14323271248 is an abundant number, since it is smaller than the sum of its proper divisors (19724549552).

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

14323271248 is a wasteful number, since it uses less digits than its factorization.

14323271248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2415 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The spelling of 14323271248 in words is "fourteen billion, three hundred twenty-three million, two hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 89 104 124 143 176 178 208 248 286 341 356 403 496 572 682 712 806 979 1144 1157 1364 1424 1612 1958 2269 2288 2314 2728 2759 3224 3916 4433 4538 4628 5456 5518 6448 7832 8866 9076 9256 11036 12727 15664 17732 18152 18512 22072 24959 25454 29497 30349 35464 35867 36304 44144 49918 50908 58994 60698 70339 70928 71734 99836 101816 117988 121396 140678 143468 199672 201941 203632 235976 242792 281356 286936 324467 394537 399344 403882 471952 485584 562712 573872 648934 773729 789074 807764 914407 1125424 1297868 1547458 1578148 1615528 1828814 2221351 2595736 2625233 3094916 3156296 3231056 3657628 4442702 5191472 5250466 6189832 6260171 6312592 7315256 8885404 10058477 10500932 12379664 12520342 14630512 17770808 20116954 21001864 25040684 28877563 35541616 40233908 42003728 50081368 57755126 68861881 80467816 81382223 100162736 115510252 137723762 160935632 162764446 231020504 275447524 325528892 462041008 550895048 651057784 895204453 1101790096 1302115568 1790408906 3580817812 7161635624 14323271248