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16442024145152 = 28557181163671
BaseRepresentation
bin1110111101000011010100…
…0000100011000100000000
32011012211201221011221100212
43233100311000203010000
54123341231140121102
654545210035333252
73314616454164224
oct357206500430400
964184657157325
1016442024145152
11526a028a95041
121a166a8751228
13923626358318
1440bb26430784
151d7a64d3cc52
hexef435023100

16442024145152 has 72 divisors (see below), whose sum is σ = 32897415805632. Its totient is φ = 8201592473600.

The previous prime is 16442024145149. The next prime is 16442024145221. The reversal of 16442024145152 is 25154142024461.

It is a super-3 number, since 3×164420241451523 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258202277 + ... + 258265947.

It is an arithmetic number, because the mean of its divisors is an integer number (456908552856).

Almost surely, 216442024145152 is an apocalyptic number.

It is an amenable number.

16442024145152 is an abundant number, since it is smaller than the sum of its proper divisors (16455391660480).

16442024145152 is an equidigital number, since it uses as much as digits as its factorization.

16442024145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66055 (or 66041 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 41.

The spelling of 16442024145152 in words is "sixteen trillion, four hundred forty-two billion, twenty-four million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 557 1114 1811 2228 3622 4456 7244 8912 14488 17824 28976 35648 57952 63671 71296 115904 127342 142592 231808 254684 463616 509368 1008727 1018736 2017454 2037472 4034908 4074944 8069816 8149888 16139632 16299776 32279264 35464747 64558528 70929494 115308181 129117056 141858988 230616362 258234112 283717976 461232724 567435952 922465448 1134871904 1844930896 2269743808 3689861792 4539487616 7379723584 9078975232 14759447168 29518894336 64226656817 128453313634 256906627268 513813254536 1027626509072 2055253018144 4110506036288 8221012072576 16442024145152