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144757037133 = 32319713739043
BaseRepresentation
bin1000011011010000110…
…0010001100001001101
3111211122100220101220200
42012310030101201031
54332430300142013
6150300033404113
713313133341142
oct2066414214115
9454570811820
10144757037133
1156433634595
122407aa09639
131085c2a3277
1470133263c9
153b73683e73
hex21b431184d

144757037133 has 48 divisors (see below), whose sum is σ = 219660919296. Its totient is φ = 91751823360.

The previous prime is 144757037063. The next prime is 144757037143. The reversal of 144757037133 is 331730757441.

144757037133 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 570 + 3 + 71 + 3 + 3 = 666.

It is not a de Polignac number, because 144757037133 - 217 = 144756906061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144757037143) 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, 3688110 + ... + 3727152.

It is an arithmetic number, because the mean of its divisors is an integer number (4576269152).

Almost surely, 2144757037133 is an apocalyptic number.

It is an amenable number.

144757037133 is a deficient number, since it is larger than the sum of its proper divisors (74903882163).

144757037133 is a wasteful number, since it uses less digits than its factorization.

144757037133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39314 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 144757037133 in words is "one hundred forty-four billion, seven hundred fifty-seven million, thirty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 97 137 279 291 411 873 1233 3007 4247 9021 12741 13289 27063 38223 39043 39867 117129 119601 351387 411959 1210333 1235877 3630999 3707631 3787171 5348891 10892997 11361513 16046673 34084539 48140019 117402301 165815621 352206903 497446863 518842427 1056620709 1492340589 1556527281 4669581843 16084115237 48252345711 144757037133