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4222144944 = 2432315991579
BaseRepresentation
bin1111101110101000…
…1101000110110000
3101220020201012000200
43323222031012300
532121332114234
61534543115200
7206425432323
oct37352150660
911806635020
104222144944
111877321a96
12999ba2b00
13523960524
142c0a5c7ba
1519aa05d99
hexfba8d1b0

4222144944 has 120 divisors (see below), whose sum is σ = 12225408000. Its totient is φ = 1358847360.

The previous prime is 4222144933. The next prime is 4222144957. The reversal of 4222144944 is 4494412224.

4222144944 is a `hidden beast` number, since 422 + 2 + 144 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4222144899 and 4222144908.

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 23 ways as a sum of consecutive naturals, for example, 2673147 + ... + 2674725.

It is an arithmetic number, because the mean of its divisors is an integer number (101878400).

Almost surely, 24222144944 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 4222144944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112704000).

4222144944 is an abundant number, since it is smaller than the sum of its proper divisors (8003263056).

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

4222144944 is a wasteful number, since it uses less digits than its factorization.

4222144944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4222144944 is about 64978.0343192990. The cubic root of 4222144944 is about 1616.2593345032.

The spelling of 4222144944 in words is "four billion, two hundred twenty-two million, one hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 599 744 1116 1198 1488 1579 1797 2232 2396 3158 3594 4464 4737 4792 5391 6316 7188 9474 9584 10782 12632 14211 14376 18569 18948 21564 25264 28422 28752 37138 37896 43128 48949 55707 56844 74276 75792 86256 97898 111414 113688 146847 148552 167121 195796 222828 227376 293694 297104 334242 391592 440541 445656 587388 668484 783184 881082 891312 945821 1174776 1336968 1762164 1891642 2349552 2673936 2837463 3524328 3783284 5674926 7048656 7566568 8512389 11349852 15133136 17024778 22699704 29320451 34049556 45399408 58640902 68099112 87961353 117281804 136198224 175922706 234563608 263884059 351845412 469127216 527768118 703690824 1055536236 1407381648 2111072472 4222144944