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4464426244644 = 2233671409437881
BaseRepresentation
bin100000011110111010010…
…0010100101101000100100
3120210210110112121101212000
41000331310202211220210
51041121121104312034
613254532404125300
7640354433645142
oct100756442455044
916723415541760
104464426244644
111471397256153
1260129b396830
13264cbbbb5812
14116117b82592
157b1e39c6599
hex40f748a5a24

4464426244644 has 96 divisors (see below), whose sum is σ = 11755555324800. Its totient is φ = 1464887255040.

The previous prime is 4464426244573. The next prime is 4464426244651.

4464426244644 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 4 + 2 + 624 + 4 + 6 + 4 + 4 = 666.

4464426244644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44644262446442 (a number of 26 digits) contains 22 as substring.

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

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

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, 9976584 + ... + 10414464.

It is an arithmetic number, because the mean of its divisors is an integer number (122453701300).

Almost surely, 24464426244644 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 4464426244644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877777662400).

4464426244644 is an abundant number, since it is smaller than the sum of its proper divisors (7291129080156).

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

4464426244644 is a wasteful number, since it uses less digits than its factorization.

4464426244644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439370 (or 439362 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 54.

The spelling of 4464426244644 in words is "four trillion, four hundred sixty-four billion, four hundred twenty-six million, two hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1409 1809 2412 2818 3618 4227 5636 7236 8454 12681 16908 25362 38043 50724 76086 94403 152172 188806 283209 377612 437881 566418 849627 875762 1132836 1313643 1699254 1751524 2548881 2627286 3398508 3940929 5097762 5254572 7881858 10195524 11822787 15763716 23645574 29338027 47291148 58676054 88014081 117352108 176028162 264042243 352056324 528084486 616974329 792126729 1056168972 1233948658 1584253458 1850922987 2467897316 3168506916 3701845974 5552768961 7403691948 11105537922 16658306883 22211075844 33316613766 41337280043 66633227532 82674560086 124011840129 165349120172 248023680258 372035520387 496047360516 744071040774 1116106561161 1488142081548 2232213122322 4464426244644