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144720300744 = 23328292424613
BaseRepresentation
bin1000011011001000000…
…0001000101011001000
3111211112210210000001200
42012302000020223020
54332341344110434
6150252242144200
713312206155025
oct2066200105310
9454483700050
10144720300744
1156414922a38
122406a652060
13108547b0066
14700c4c254c
153b70329199
hex21b2008ac8

144720300744 has 48 divisors (see below), whose sum is σ = 392423775900. Its totient is φ = 48181889664.

The previous prime is 144720300737. The next prime is 144720300799. The reversal of 144720300744 is 447003027441.

It is a happy number.

144720300744 is a `hidden beast` number, since 1 + 447 + 203 + 0 + 0 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142308508644 + 2411792100 = 377238^2 + 49110^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144720300699 and 144720300708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152619 + ... + 1271994.

Almost surely, 2144720300744 is an apocalyptic number.

It is an amenable number.

144720300744 is an abundant number, since it is smaller than the sum of its proper divisors (247703475156).

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

144720300744 is a wasteful number, since it uses less digits than its factorization.

144720300744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425454 (or 2425447 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 144720300744 in words is "one hundred forty-four billion, seven hundred twenty million, three hundred thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 829 1658 2487 3316 4974 6632 7461 9948 14922 19896 29844 59688 2424613 4849226 7273839 9698452 14547678 19396904 21821517 29095356 43643034 58190712 87286068 174572136 2010004177 4020008354 6030012531 8040016708 12060025062 16080033416 18090037593 24120050124 36180075186 48240100248 72360150372 144720300744