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144001621152162 = 234172329673116483
BaseRepresentation
bin100000101111011111111101…
…011110011101000110100010
3200212212102100120102022020000
4200233133331132131012202
5122333310310003332122
61230133233112000430
742221526261620304
oct4057377536350642
9625772316368200
10144001621152162
1141979821031494
121419858b690116
1362473aa339867
14277ba03a69974
15119ac2c9730ac
hex82f7fd79d1a2

144001621152162 has 320 divisors, whose sum is σ = 369349740967680. Its totient is φ = 41660314730496.

The previous prime is 144001621152157. The next prime is 144001621152173. The reversal of 144001621152162 is 261251126100441.

144001621152162 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 1 + 62 + 11 + 521 + 62 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1236187573 + ... + 1236304055.

It is an arithmetic number, because the mean of its divisors is an integer number (1154217940524).

Almost surely, 2144001621152162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144001621152162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184674870483840).

144001621152162 is an abundant number, since it is smaller than the sum of its proper divisors (225348119815518).

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

144001621152162 is a wasteful number, since it uses less digits than its factorization.

144001621152162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117239 (or 117230 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 144001621152162 in words is "one hundred forty-four trillion, one billion, six hundred twenty-one million, one hundred fifty-two thousand, one hundred sixty-two".