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1450227856464 = 243337389233239
BaseRepresentation
bin10101000110101000010…
…100001111010001010000
312010122021212120021102000
4111012220110033101100
5142230031312401324
63030120411554000
7206526666250242
oct25065024172120
95118255507360
101450227856464
1150a0468aa272
121b509245b900
13a69a99352ba
14502972d0092
1527acca129c9
hex151a850f450

1450227856464 has 160 divisors (see below), whose sum is σ = 4286204832000. Its totient is φ = 469133047296.

The previous prime is 1450227856457. The next prime is 1450227856531. The reversal of 1450227856464 is 4646587220541.

1450227856464 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 2 + 2 + 78 + 564 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1450227856464.

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, 6101157 + ... + 6334395.

It is an arithmetic number, because the mean of its divisors is an integer number (26788780200).

Almost surely, 21450227856464 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 1450227856464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143102416000).

1450227856464 is an abundant number, since it is smaller than the sum of its proper divisors (2835976975536).

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

1450227856464 is a wasteful number, since it uses less digits than its factorization.

1450227856464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233682 (or 233670 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 1450227856464 in words is "one trillion, four hundred fifty billion, two hundred twenty-seven million, eight hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 389 432 444 592 666 778 888 999 1167 1332 1556 1776 1998 2334 2664 3112 3501 3996 4668 5328 6224 7002 7992 9336 10503 14004 14393 15984 18672 21006 28008 28786 42012 43179 56016 57572 84024 86358 115144 129537 168048 172716 230288 233239 259074 345432 388611 466478 518148 690864 699717 777222 932956 1036296 1399434 1554444 1865912 2072592 2099151 2798868 3108888 3731824 4198302 5597736 6217776 6297453 8396604 8629843 11195472 12594906 16793208 17259686 25189812 25889529 33586416 34519372 50379624 51779058 69038744 77668587 90729971 100759248 103558116 138077488 155337174 181459942 207116232 233005761 272189913 310674348 362919884 414232464 466011522 544379826 621348696 725839768 816569739 932023044 1088759652 1242697392 1451679536 1633139478 1864046088 2177519304 2449709217 3266278956 3357008927 3728092176 4355038608 4899418434 6532557912 6714017854 9798836868 10071026781 13065115824 13428035708 19597673736 20142053562 26856071416 30213080343 39195347472 40284107124 53712142832 60426160686 80568214248 90639241029 120852321372 161136428496 181278482058 241704642744 362556964116 483409285488 725113928232 1450227856464