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3442284437152 = 25112889019741
BaseRepresentation
bin110010000101111000001…
…001000001111010100000
3110012002010201110121120211
4302011320021001322200
5422344244303442102
611153210313543504
7503461005641401
oct62057011017240
913162121417524
103442284437152
111107956908600
1247717a114b94
131bc7b55a7052
14bc870c039a8
155e81d46e7d7
hex32178241ea0

3442284437152 has 36 divisors (see below), whose sum is σ = 7449096418218. Its totient is φ = 1564674742400.

The previous prime is 3442284437149. The next prime is 3442284437159. The reversal of 3442284437152 is 2517344822443.

It can be written as a sum of positive squares in only one way, i.e., 2262966627856 + 1179317809296 = 1504316^2 + 1085964^2 .

It is a super-2 number, since 2×34422844371522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3442284437096 and 3442284437105.

It is not an unprimeable number, because it can be changed into a prime (3442284437159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444505999 + ... + 444513742.

Almost surely, 23442284437152 is an apocalyptic number.

3442284437152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3442284437152 is an abundant number, since it is smaller than the sum of its proper divisors (4006811981066).

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

3442284437152 is a wasteful number, since it uses less digits than its factorization.

3442284437152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889019773 (or 889019754 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 49.

The spelling of 3442284437152 in words is "three trillion, four hundred forty-two billion, two hundred eighty-four million, four hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 889019741 1778039482 3556078964 7112157928 9779217151 14224315856 19558434302 28448631712 39116868604 78233737208 107571388661 156467474416 215142777322 312934948832 430285554644 860571109288 1721142218576 3442284437152