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29410387314 = 23721173124577
BaseRepresentation
bin11011011000111111…
…101110010101110010
32210220122211110211020
4123120333232111302
5440213024343224
621302210400310
72060550111300
oct333077562562
983818743736
1029410387314
1111522440320
125849590096
132a09195459
1415d0007270
15b71eadc79
hex6d8fee572

29410387314 has 96 divisors (see below), whose sum is σ = 75667680576. Its totient is φ = 7534356480.

The previous prime is 29410387291. The next prime is 29410387351. The reversal of 29410387314 is 41378301492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173794 + ... + 298370.

It is an arithmetic number, because the mean of its divisors is an integer number (788205006).

Almost surely, 229410387314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29410387314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37833840288).

29410387314 is an abundant number, since it is smaller than the sum of its proper divisors (46257293262).

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

29410387314 is a wasteful number, since it uses less digits than its factorization.

29410387314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124680 (or 124673 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 29410387314 in words is "twenty-nine billion, four hundred ten million, three hundred eighty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 73 77 98 146 147 154 219 231 294 438 462 511 539 803 1022 1078 1533 1606 1617 2409 3066 3234 3577 4818 5621 7154 10731 11242 16863 21462 33726 39347 78694 118041 124577 236082 249154 373731 747462 872039 1370347 1744078 2616117 2740694 4111041 5232234 6104273 8222082 9094121 9592429 12208546 18188242 18312819 19184858 27282363 28777287 36625638 54564726 57554574 63658847 67147003 100035331 127317694 134294006 190976541 200070662 201441009 300105993 381953082 402882018 445611929 600211986 700247317 891223858 1336835787 1400494634 2100741951 2673671574 4201483902 4901731219 9803462438 14705193657 29410387314