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1344226910464 = 2823323112
BaseRepresentation
bin10011100011111010001…
…010101110000100000000
311202111200111002021211001
4103203322022232010000
5134010434042113324
62505310155501344
7166055124133324
oct23437212560400
94674614067731
101344226910464
114790a1057669
1219862aa57854
13999b5ab8349
14490bd295984
1524e76a54e44
hex138fa2ae100

1344226910464 has 81 divisors (see below), whose sum is σ = 2703460962349. Its totient is φ = 667076986880.

The previous prime is 1344226910437. The next prime is 1344226910473. The reversal of 1344226910464 is 4640196224431.

It is a happy number.

The square root of 1344226910464 is 1159408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 272985350400 + 1071241560064 = 522480^2 + 1035008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4322272869 + ... + 4322273179.

Almost surely, 21344226910464 is an apocalyptic number.

1344226910464 is the 1159408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344226910464

1344226910464 is an abundant number, since it is smaller than the sum of its proper divisors (1359234051885).

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

1344226910464 is an frugal number, since it uses more digits than its factorization.

1344226910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 1344226910464 in words is "one trillion, three hundred forty-four billion, two hundred twenty-six million, nine hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 233 256 311 466 622 932 1244 1864 2488 3728 4976 7456 9952 14912 19904 29824 39808 54289 59648 72463 79616 96721 108578 144926 193442 217156 289852 386884 434312 579704 773768 868624 1159408 1547536 1737248 2318816 3095072 3474496 4637632 6190144 6948992 9275264 12380288 13897984 16883879 18550528 22535993 24760576 33767758 45071986 67535516 90143972 135071032 180287944 270142064 360575888 540284128 721151776 1080568256 1442303552 2161136512 2884607104 4322273024 5250886369 5769214208 10501772738 21003545476 42007090952 84014181904 168028363808 336056727616 672113455232 1344226910464