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144899976 = 233131721607
BaseRepresentation
bin10001010001011…
…11111110001000
3101002122200101210
420220233332020
5244043244401
622213413120
73406425624
oct1050577610
9332580353
10144899976
1174879551
124063a1a0
1324034740
141535c184
15cac34d6
hex8a2ff88

144899976 has 96 divisors (see below), whose sum is σ = 414671040. Its totient is φ = 41935872.

The previous prime is 144899971. The next prime is 144900011. The reversal of 144899976 is 679998441.

144899976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144899971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89365 + ... + 90971.

It is an arithmetic number, because the mean of its divisors is an integer number (4319490).

Almost surely, 2144899976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144899976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207335520).

144899976 is an abundant number, since it is smaller than the sum of its proper divisors (269771064).

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

144899976 is a wasteful number, since it uses less digits than its factorization.

144899976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1642 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 144899976 is about 12037.4405917537. The cubic root of 144899976 is about 525.2379583413.

The spelling of 144899976 in words is "one hundred forty-four million, eight hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 289 312 408 442 578 663 867 884 1156 1326 1607 1734 1768 2312 2652 3214 3468 3757 4821 5304 6428 6936 7514 9642 11271 12856 15028 19284 20891 22542 27319 30056 38568 41782 45084 54638 62673 81957 83564 90168 109276 125346 163914 167128 218552 250692 327828 355147 464423 501384 655656 710294 928846 1065441 1393269 1420588 1857692 2130882 2786538 2841176 3715384 4261764 5573076 6037499 8523528 11146152 12074998 18112497 24149996 36224994 48299992 72449988 144899976