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44132533523144 = 2311501506062763
BaseRepresentation
bin10100000100011011001111…
…11110111101001011001000
312210021000210010211021020222
422002031213332331023020
521241031412040220034
6233510112255405212
712203320215314063
oct1202154776751310
9183230703737228
1044132533523144
1113075558706250
124b49220223808
131b818ac103931
14ac805157d8da
15517ec618912e
hex282367fbd2c8

44132533523144 has 16 divisors (see below), whose sum is σ = 90271091297520. Its totient is φ = 20060242510480.

The previous prime is 44132533523083. The next prime is 44132533523147.

44132533523144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441325335231442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44132533523095 and 44132533523104.

It is not an unprimeable number, because it can be changed into a prime (44132533523147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250753031294 + ... + 250753031469.

It is an arithmetic number, because the mean of its divisors is an integer number (5641943206095).

Almost surely, 244132533523144 is an apocalyptic number.

44132533523144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44132533523144 is an abundant number, since it is smaller than the sum of its proper divisors (46138557774376).

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

44132533523144 is a wasteful number, since it uses less digits than its factorization.

44132533523144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501506062780 (or 501506062776 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 4413253 and 3523144, that added together give a palindrome (7936397).

The spelling of 44132533523144 in words is "forty-four trillion, one hundred thirty-two billion, five hundred thirty-three million, five hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 501506062763 1003012125526 2006024251052 4012048502104 5516566690393 11033133380786 22066266761572 44132533523144