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134104400024 = 23723292123803
BaseRepresentation
bin111110011100100111…
…1101100000010011000
3110211010222002100222112
41330321033230002120
54144121211300044
6141335014411452
712455142410120
oct1747117540230
9424128070875
10134104400024
115196748a671
1221ba7360b88
13c85231a6ba
1466c2637c80
15374d35c09e
hex1f393ec098

134104400024 has 96 divisors (see below), whose sum is σ = 310559857920. Its totient is φ = 53078374272.

The previous prime is 134104399999. The next prime is 134104400063. The reversal of 134104400024 is 420004401431.

It is a happy number.

It is a super-2 number, since 2×1341044000242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021307 + ... + 1145109.

It is an arithmetic number, because the mean of its divisors is an integer number (3234998520).

Almost surely, 2134104400024 is an apocalyptic number.

134104400024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134104400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155279928960).

134104400024 is an abundant number, since it is smaller than the sum of its proper divisors (176455457896).

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

134104400024 is a wasteful number, since it uses less digits than its factorization.

134104400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123897 (or 123864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 134104400024 its reverse (420004401431), we get a palindrome (554108801455).

The spelling of 134104400024 in words is "one hundred thirty-four billion, one hundred four million, four hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 841 1288 1334 1624 1682 2668 3364 4669 5336 5887 6728 9338 11774 18676 19343 23548 37352 38686 47096 77372 123803 135401 154744 247606 270802 495212 541604 866621 990424 1083208 1733242 2847469 3466484 3590287 5694938 6932968 7180574 11389876 14361148 19932283 22779752 25132009 28722296 39864566 50264018 79729132 82576601 100528036 104118323 159458264 165153202 201056072 208236646 330306404 416473292 578036207 660612808 728828261 832946584 1156072414 1457656522 2312144828 2394721429 2915313044 4624289656 4789442858 5830626088 9578885716 16763050003 19157771432 33526100006 67052200012 134104400024