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144300441132 = 223239709100943
BaseRepresentation
bin1000011001100011111…
…0011111111000101100
3111210110112201220221200
42012120332133320230
54331011403104012
6150142443125500
713265620340361
oct2063076377054
9453415656850
10144300441132
1156219923221
1223b71b13890
13107b8807213
146dac82c468
153b485413dc
hex2198f9fe2c

144300441132 has 36 divisors (see below), whose sum is σ = 364772247840. Its totient is φ = 48098459232.

The previous prime is 144300441127. The next prime is 144300441133. The reversal of 144300441132 is 231144003441.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144300441096 and 144300441105.

It is not an unprimeable number, because it can be changed into a prime (144300441133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1379053 + ... + 1479995.

It is an arithmetic number, because the mean of its divisors is an integer number (10132562440).

Almost surely, 2144300441132 is an apocalyptic number.

144300441132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144300441132 is an abundant number, since it is smaller than the sum of its proper divisors (220471806708).

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

144300441132 is a wasteful number, since it uses less digits than its factorization.

144300441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140662 (or 140657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144300441132 its reverse (231144003441), we get a palindrome (375444444573).

The spelling of 144300441132 in words is "one hundred forty-four billion, three hundred million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 39709 79418 100943 119127 158836 201886 238254 302829 357381 403772 476508 605658 714762 908487 1211316 1429524 1816974 3633948 4008345587 8016691174 12025036761 16033382348 24050073522 36075110283 48100147044 72150220566 144300441132