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144001256233324 = 22717943132077579
BaseRepresentation
bin100000101111011111100111…
…101110011001100101101100
3200212212101102010202111200111
4200233133213232121211230
5122333304033043431244
61230133132554305404
742221514241066060
oct4057374756314554
9625771363674614
10144001256233324
1141979654047576
12141984a9428264
13624734c85bc59
14277b9ab3d7aa0
15119ac0a8dde34
hex82f7e7b9996c

144001256233324 has 48 divisors (see below), whose sum is σ = 304976180436480. Its totient is φ = 58078379623680.

The previous prime is 144001256233313. The next prime is 144001256233327. The reversal of 144001256233324 is 423332652100441.

It is a super-3 number, since 3×1440012562333243 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144001256233327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11549634 + ... + 20527945.

It is an arithmetic number, because the mean of its divisors is an integer number (6353670425760).

Almost surely, 2144001256233324 is an apocalyptic number.

144001256233324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144001256233324 is an abundant number, since it is smaller than the sum of its proper divisors (160974924203156).

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

144001256233324 is a wasteful number, since it uses less digits than its factorization.

144001256233324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32087038 (or 32087036 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 144001256233324 in words is "one hundred forty-four trillion, one billion, two hundred fifty-six million, two hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 9431 18862 37724 66017 132034 160327 264068 320654 641308 1122289 2244578 4489156 32077579 64155158 128310316 224543053 449086106 545318843 898172212 1090637686 2181275372 3817231901 7634463802 15268927604 302523647549 605047295098 1210094590196 2117665532843 4235331065686 5142902008333 8470662131372 10285804016666 20571608033332 36000314058331 72000628116662 144001256233324