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144963220944 = 24319491549547
BaseRepresentation
bin1000011100000001111…
…0110011010111010000
3111212011201212121221010
42013000132303113100
54333341041032234
6150332320530520
713321216022133
oct2070036632720
9455151777833
10144963220944
1156529a60533
1224117a80a40
1310892c14119
14703287821a
153b868106e9
hex21c07b35d0

144963220944 has 40 divisors (see below), whose sum is σ = 374680706400. Its totient is φ = 48296249728.

The previous prime is 144963220943. The next prime is 144963220949. The reversal of 144963220944 is 449022369441.

It is a happy number.

It is a super-2 number, since 2×1449632209442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 144963220893 and 144963220902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144963220943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681222 + ... + 868325.

It is an arithmetic number, because the mean of its divisors is an integer number (9367017660).

Almost surely, 2144963220944 is an apocalyptic number.

It is an amenable number.

144963220944 is an abundant number, since it is smaller than the sum of its proper divisors (229717485456).

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

144963220944 is a wasteful number, since it uses less digits than its factorization.

144963220944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551507 (or 1551501 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 144963220944 in words is "one hundred forty-four billion, nine hundred sixty-three million, two hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1949 3898 5847 7796 11694 15592 23388 31184 46776 93552 1549547 3099094 4648641 6198188 9297282 12396376 18594564 24792752 37189128 74378256 3020067103 6040134206 9060201309 12080268412 18120402618 24160536824 36240805236 48321073648 72481610472 144963220944