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10334001144 = 2334367314879
BaseRepresentation
bin10011001111111010…
…00101011111111000
3222200012020122120010
421213331011133320
5132131001014034
64425233301520
7514041363135
oct114775053770
928605218503
1010334001144
114423302015
122004a048a0
13c88c6149c
1470066758c
154073863e9
hex267f457f8

10334001144 has 64 divisors (see below), whose sum is σ = 26476876800. Its totient is φ = 3359333376.

The previous prime is 10334001137. The next prime is 10334001163. The reversal of 10334001144 is 44110043301.

It is a self number, because there is not a number n which added to its sum of digits gives 10334001144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687097 + ... + 701975.

It is an arithmetic number, because the mean of its divisors is an integer number (413701200).

Almost surely, 210334001144 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 10334001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238438400).

10334001144 is an abundant number, since it is smaller than the sum of its proper divisors (16142875656).

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

10334001144 is a wasteful number, since it uses less digits than its factorization.

10334001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10334001144 its reverse (44110043301), we get a palindrome (54444044445).

The spelling of 10334001144 in words is "ten billion, three hundred thirty-four million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 673 1032 1346 2019 2692 4038 5384 8076 14879 16152 28939 29758 44637 57878 59516 86817 89274 115756 119032 173634 178548 231512 347268 357096 639797 694536 1279594 1919391 2559188 3838782 5118376 7677564 10013567 15355128 20027134 30040701 40054268 60081402 80108536 120162804 240325608 430583381 861166762 1291750143 1722333524 2583500286 3444667048 5167000572 10334001144