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14352981448 = 23134759157317
BaseRepresentation
bin11010101111000000…
…10001110111001000
31101001021200000002111
431113200101313020
5213343330401243
610332122112104
71015452220651
oct152740216710
941037600074
1014352981448
1160a597a443
12294694b634
13147979a140
149a231c528
1559010a39d
hex357811dc8

14352981448 has 128 divisors (see below), whose sum is σ = 30387571200. Its totient is φ = 6313042944.

The previous prime is 14352981437. The next prime is 14352981451. The reversal of 14352981448 is 84418925341.

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, 45277386 + ... + 45277702.

It is an arithmetic number, because the mean of its divisors is an integer number (237402900).

Almost surely, 214352981448 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 14352981448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193785600).

14352981448 is an abundant number, since it is smaller than the sum of its proper divisors (16034589752).

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

14352981448 is a wasteful number, since it uses less digits than its factorization.

14352981448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The spelling of 14352981448 in words is "fourteen billion, three hundred fifty-two million, nine hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 47 52 59 94 104 118 157 188 236 314 317 376 472 611 628 634 767 1222 1256 1268 1534 2041 2444 2536 2773 3068 4082 4121 4888 5546 6136 7379 8164 8242 9263 11092 14758 14899 16328 16484 18526 18703 22184 29516 29798 32968 36049 37052 37406 49769 59032 59596 72098 74104 74812 95927 99538 119192 120419 144196 149624 191854 193687 199076 240838 243139 288392 383708 387374 398152 435361 481676 486278 646997 767416 774748 870722 879041 963352 972556 1293994 1549496 1741444 1758082 1945112 2339143 2587988 2936371 3482888 3516164 4678286 5175976 5659693 5872742 7032328 9356572 11319386 11427533 11745484 18713144 22638772 22855066 23490968 30408859 38172823 45277544 45710132 60817718 76345646 91420264 121635436 138009437 152691292 243270872 276018874 305382584 552037748 1104075496 1794122681 3588245362 7176490724 14352981448