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134310021444 = 223253148747339
BaseRepresentation
bin111110100010110000…
…0000100100101000100
3110211200022000000112200
41331011200010211010
54200031331141234
6141411241514500
712463220226354
oct1750540044504
9424608000480
10134310021444
1151a62562025
12220441a2a30
13c885ac2591
146701a80b64
153761426d99
hex1f45804944

134310021444 has 72 divisors (see below), whose sum is σ = 346151594880. Its totient is φ = 43894823232.

The previous prime is 134310021413. The next prime is 134310021451. The reversal of 134310021444 is 444120013431.

134310021444 is a `hidden beast` number, since 1 + 343 + 100 + 214 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2813527 + ... + 2860865.

It is an arithmetic number, because the mean of its divisors is an integer number (4807661040).

Almost surely, 2134310021444 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 134310021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173075797440).

134310021444 is an abundant number, since it is smaller than the sum of its proper divisors (211841573436).

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

134310021444 is a wasteful number, since it uses less digits than its factorization.

134310021444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48889 (or 48884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134310021444 its reverse (444120013431), we get a palindrome (578430034875).

The spelling of 134310021444 in words is "one hundred thirty-four billion, three hundred ten million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1487 1908 2974 4461 5948 8922 13383 17844 26766 47339 53532 78811 94678 142017 157622 189356 236433 284034 315244 426051 472866 568068 709299 852102 945732 1418598 1704204 2508967 2837196 5017934 7526901 10035868 15053802 22580703 30107604 45161406 70393093 90322812 140786186 211179279 281572372 422358558 633537837 844717116 1267075674 2534151348 3730833929 7461667858 11192501787 14923335716 22385003574 33577505361 44770007148 67155010722 134310021444