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144465624045 = 32517188843953
BaseRepresentation
bin1000011010001011010…
…0100111101111101101
3111210220001120002022100
42012202310213233231
54331331144432140
6150211103405313
713302664354251
oct2064264475755
9453801502270
10144465624045
11562a4095626
1223bb92b3839
1310813ac0aa2
146dc674a261
153b57cbe530
hex21a2d27bed

144465624045 has 24 divisors (see below), whose sum is σ = 265136911416. Its totient is φ = 72516077568.

The previous prime is 144465623999. The next prime is 144465624091. The reversal of 144465624045 is 540426564441.

144465624045 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 6 + 562 + 40 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (144465623999) and next prime (144465624091).

It can be written as a sum of positive squares in 4 ways, for example, as 2952726921 + 141512897124 = 54339^2 + 376182^2 .

It is not a de Polignac number, because 144465624045 - 214 = 144465607661 is a prime.

It is a super-2 number, since 2×1444656240452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94421212 + ... + 94422741.

It is an arithmetic number, because the mean of its divisors is an integer number (11047371309).

Almost surely, 2144465624045 is an apocalyptic number.

144465624045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144465624045 is a deficient number, since it is larger than the sum of its proper divisors (120671287371).

144465624045 is a wasteful number, since it uses less digits than its factorization.

144465624045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188843981 (or 188843978 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 144465624045 in words is "one hundred forty-four billion, four hundred sixty-five million, six hundred twenty-four thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 188843953 566531859 944219765 1699595577 2832659295 3210347201 8497977885 9631041603 16051736005 28893124809 48155208015 144465624045