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144300157299 = 321719424311699
BaseRepresentation
bin1000011001100011110…
…1011010100101110011
3111210110112012111121100
42012120331122211303
54331011320013144
6150142433055443
713265615046024
oct2063075324563
9453415174540
10144300157299
1156219749a51
1223b719b7583
13107b8737c7c
146dac796c4b
153b484d7269
hex2198f5a973

144300157299 has 48 divisors (see below), whose sum is σ = 232384464000. Its totient is φ = 85748398848.

The previous prime is 144300157249. The next prime is 144300157301. The reversal of 144300157299 is 992751003441.

144300157299 is a `hidden beast` number, since 1 + 4 + 4 + 300 + 1 + 57 + 299 = 666.

It is not a de Polignac number, because 144300157299 - 29 = 144300156787 is a prime.

It is a super-2 number, since 2×1443001572992 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144300157249) 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, 12328552 + ... + 12340250.

It is an arithmetic number, because the mean of its divisors is an integer number (4841343000).

Almost surely, 2144300157299 is an apocalyptic number.

144300157299 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

144300157299 is a deficient number, since it is larger than the sum of its proper divisors (88084306701).

144300157299 is a wasteful number, since it uses less digits than its factorization.

144300157299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 144300157299 in words is "one hundred forty-four billion, three hundred million, one hundred fifty-seven thousand, two hundred ninety-nine".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 4243 11699 12729 35097 38187 72131 80617 105291 198883 216393 222281 241851 596649 649179 666843 725553 1370489 1789947 2000529 3778777 4111467 11336331 12334401 34008993 49638857 148916571 446749713 843860569 943138283 2531581707 2829414849 7594745121 8488244547 16033350811 48100052433 144300157299