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44002032223232 = 210136137698377
BaseRepresentation
bin10100000000101000001011…
…00000000000010000000000
312202210112221021121100102202
422000110011200000100000
521231412130222120412
6233330130551532332
712161020243466666
oct1200240540002000
9182715837540382
1044002032223232
1113025180072076
124b27a7b68a0a8
131b724b2410445
14ac19d16a0c36
155148d93023c2
hex280505800400

44002032223232 has 88 divisors (see below), whose sum is σ = 88059589470840. Its totient is φ = 21976393973760.

The previous prime is 44002032223229. The next prime is 44002032223243. The reversal of 44002032223232 is 23232223020044.

It can be written as a sum of positive squares in 4 ways, for example, as 1625890210816 + 42376142012416 = 1275104^2 + 6509696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44002032223195 and 44002032223204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5252715428 + ... + 5252723804.

Almost surely, 244002032223232 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 44002032223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029794735420).

44002032223232 is an abundant number, since it is smaller than the sum of its proper divisors (44057557247608).

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

44002032223232 is a wasteful number, since it uses less digits than its factorization.

44002032223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 44002032223232 its reverse (23232223020044), we get a palindrome (67234255243276).

The spelling of 44002032223232 in words is "forty-four trillion, two billion, thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1361 2722 3769 5444 7538 8377 10888 15076 16754 21776 30152 33508 43552 60304 67016 87104 120608 134032 174208 241216 268064 348416 482432 536128 696832 964864 1072256 1393664 1929728 2144512 3859456 4289024 5129609 8578048 10259218 11401097 20518436 22802194 31572913 41036872 45604388 63145826 82073744 91208776 126291652 164147488 182417552 252583304 328294976 364835104 505166608 656589952 729670208 1010333216 1313179904 1459340416 2020666432 2626359808 2918680832 4041332864 5252719616 5837361664 8082665728 11674723328 16165331456 32330662912 42970734593 85941469186 171882938372 343765876744 687531753488 1375063506976 2750127013952 5500254027904 11000508055808 22001016111616 44002032223232