Search a number
-
+
44300088378 = 23371389101293
BaseRepresentation
bin101001010000011111…
…011011010000111010
311020100100102122211000
4221100133123100322
51211211310312003
632203504345430
73125540352420
oct512037332072
9136310378730
1044300088378
1117873277097
128704015276
13423cc03060
142203719110
1512442871a3
hexa507db43a

44300088378 has 128 divisors (see below), whose sum is σ = 122525222400. Its totient is φ = 11552150016.

The previous prime is 44300088373. The next prime is 44300088449. The reversal of 44300088378 is 87388000344.

It is a happy number.

44300088378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×443000883782 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44300088373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386700 + ... + 487992.

It is an arithmetic number, because the mean of its divisors is an integer number (957228300).

Almost surely, 244300088378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44300088378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61262611200).

44300088378 is an abundant number, since it is smaller than the sum of its proper divisors (78225134022).

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

44300088378 is a wasteful number, since it uses less digits than its factorization.

44300088378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101413 (or 101407 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 44300088378 in words is "forty-four billion, three hundred million, eighty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 89 91 117 126 178 182 189 234 267 273 351 378 534 546 623 702 801 819 1157 1246 1602 1638 1869 2314 2403 2457 3471 3738 4806 4914 5607 6942 8099 10413 11214 16198 16821 20826 24297 31239 33642 48594 62478 72891 101293 145782 202586 218673 303879 437346 607758 709051 911637 1316809 1418102 1823274 2127153 2633618 2734911 3950427 4254306 5469822 6381459 7900854 9015077 9217663 11851281 12762918 18030154 18435326 19144377 23702562 27045231 27652989 35553843 38288754 54090462 55305978 63105539 71107686 81135693 82958967 117196001 126211078 162271386 165917934 189316617 234392002 243407079 248876901 351588003 378633234 486814158 497753802 567949851 703176006 820372007 1054764009 1135899702 1640744014 1703849553 2109528018 2461116021 3164292027 3407699106 4922232042 6328584054 7383348063 14766696126 22150044189 44300088378