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10342343144 = 237437954367
BaseRepresentation
bin10011010000111001…
…11010000111101000
3222200202221110122002
421220130322013220
5132140114440034
64430132150132
7514202315630
oct115034720750
928622843562
1010342343144
114427a8a531
122007768348
13c8a8c2493
147017d96c0
15407e82e7e
hex26873a1e8

10342343144 has 64 divisors (see below), whose sum is σ = 22965043200. Its totient is φ = 4274472384.

The previous prime is 10342343117. The next prime is 10342343147. The reversal of 10342343144 is 44134324301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10342343147) 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, 163049 + ... + 217415.

It is an arithmetic number, because the mean of its divisors is an integer number (358828800).

Almost surely, 210342343144 is an apocalyptic number.

10342343144 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 10342343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482521600).

10342343144 is an abundant number, since it is smaller than the sum of its proper divisors (12622700056).

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

10342343144 is a wasteful number, since it uses less digits than its factorization.

10342343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54502 (or 54498 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10342343144 its reverse (44134324301), we get a palindrome (54476667445).

The spelling of 10342343144 in words is "ten billion, three hundred forty-two million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 79 86 158 172 301 316 344 553 602 632 1106 1204 2212 2408 3397 4424 6794 13588 23779 27176 47558 54367 95116 108734 190232 217468 380569 434936 761138 1522276 2337781 3044552 4294993 4675562 8589986 9351124 16364467 17179972 18702248 30064951 32728934 34359944 60129902 65457868 120259804 130915736 184684699 240519608 369369398 738738796 1292792893 1477477592 2585585786 5171171572 10342343144