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141242664 = 233171033361
BaseRepresentation
bin10000110101100…
…11000100101000
3100211202212111210
420122303010220
5242124231124
622003153120
73333354123
oct1032630450
9324685453
10141242664
1172800782
123b3757a0
1323353b54
1414a893ba
15c5eea29
hex86b3128

141242664 has 64 divisors (see below), whose sum is σ = 377619840. Its totient is φ = 43868160.

The previous prime is 141242627. The next prime is 141242671. The reversal of 141242664 is 466242141.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40344 + ... + 43704.

It is an arithmetic number, because the mean of its divisors is an integer number (5900310).

Almost surely, 2141242664 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 141242664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188809920).

141242664 is an abundant number, since it is smaller than the sum of its proper divisors (236377176).

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

141242664 is a wasteful number, since it uses less digits than its factorization.

141242664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3486 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 141242664 is about 11884.5556921578. Note that the first 3 decimals coincide. The cubic root of 141242664 is about 520.7812025278.

The spelling of 141242664 in words is "one hundred forty-one million, two hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 824 1236 1751 2472 3361 3502 5253 6722 7004 10083 10506 13444 14008 20166 21012 26888 40332 42024 57137 80664 114274 171411 228548 342822 346183 457096 685644 692366 1038549 1371288 1384732 2077098 2769464 4154196 5885111 8308392 11770222 17655333 23540444 35310666 47080888 70621332 141242664