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144901180629 = 327111318111087
BaseRepresentation
bin1000011011110011001…
…0001000110011010101
3111212000102010122121200
42012330302020303111
54333224200240004
6150322223103113
713316533466442
oct2067462106325
9455012118550
10144901180629
11564a7a36747
12240bb141a99
131088310158a
1470285289c9
153b81158239
hex21bcc88cd5

144901180629 has 48 divisors (see below), whose sum is σ = 215330379264. Its totient is φ = 93867379200.

The previous prime is 144901180601. The next prime is 144901180661. The reversal of 144901180629 is 926081109441.

It is a happy number.

144901180629 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 0 + 1 + 18 + 0 + 629 = 666.

It is not a de Polignac number, because 144901180629 - 29 = 144901180117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144901180679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13063924 + ... + 13075010.

It is an arithmetic number, because the mean of its divisors is an integer number (4486049568).

Almost surely, 2144901180629 is an apocalyptic number.

It is an amenable number.

144901180629 is a deficient number, since it is larger than the sum of its proper divisors (70429198635).

144901180629 is a wasteful number, since it uses less digits than its factorization.

144901180629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11458 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 144901180629 in words is "one hundred forty-four billion, nine hundred one million, one hundred eighty thousand, six hundred twenty-nine".

Divisors: 1 3 9 71 113 181 213 339 543 639 1017 1629 8023 11087 12851 20453 24069 33261 38553 61359 72207 99783 115659 184077 787177 1252831 1452163 2006747 2361531 3758493 4356489 6020241 7084593 11275479 13069467 18060723 88951001 142479037 226762411 266853003 427437111 680287233 800559009 1282311333 2040861699 16100131181 48300393543 144901180629