Search a number
-
+
44492644629444 = 223111372460332041
BaseRepresentation
bin10100001110111010000000…
…10001110011101111000100
312211112110021220101212221110
422013131000101303233010
521312431414011120234
6234343345550245020
712241326132234264
oct1207350021635704
9184473256355843
1044492644629444
11131a4251a773a0
124ba6b807b6770
131ba983b6c149b
14adb653c177a4
15522550be61e9
hex287740473bc4

44492644629444 has 48 divisors (see below), whose sum is σ = 114080676123456. Its totient is φ = 13384206297600.

The previous prime is 44492644629431. The next prime is 44492644629463.

44492644629444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444926446294442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230147937 + ... + 1230184104.

It is an arithmetic number, because the mean of its divisors is an integer number (2376680752572).

Almost surely, 244492644629444 is an apocalyptic number.

44492644629444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44492644629444 is an abundant number, since it is smaller than the sum of its proper divisors (69588031494012).

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

44492644629444 is a wasteful number, since it uses less digits than its factorization.

44492644629444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460332196 (or 2460332194 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 44492644629444 in words is "forty-four trillion, four hundred ninety-two billion, six hundred forty-four million, six hundred twenty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 18084 2460332041 4920664082 7380996123 9841328164 14761992246 27063652451 29523984492 54127304902 81190957353 108254609804 162381914706 324763829412 337065489617 674130979234 1011196468851 1348261958468 2022392937702 3707720385787 4044785875404 7415440771574 11123161157361 14830881543148 22246322314722 44492644629444