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34019214008 = 23134715146091
BaseRepresentation
bin11111101011101101…
…000000001010111000
310020210212011010111012
4133223231000022320
51024132404322013
623343405453052
72313012355643
oct375355001270
9106725133435
1034019214008
1113477a60aaa
126714b71188
133291c83240
14190a160a5a
15d418e71a8
hex7ebb402b8

34019214008 has 64 divisors (see below), whose sum is σ = 70620318720. Its totient is φ = 15265008000.

The previous prime is 34019213999. The next prime is 34019214023. The reversal of 34019214008 is 80041291043.

It is a happy number.

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, 715043 + ... + 761133.

It is an arithmetic number, because the mean of its divisors is an integer number (1103442480).

Almost surely, 234019214008 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 34019214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310159360).

34019214008 is an abundant number, since it is smaller than the sum of its proper divisors (36601104712).

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

34019214008 is a wasteful number, since it uses less digits than its factorization.

34019214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46308 (or 46304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 34019214008 in words is "thirty-four billion, nineteen million, two hundred fourteen thousand, eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 151 188 302 376 604 611 1208 1222 1963 2444 3926 4888 7097 7852 14194 15704 28388 46091 56776 92182 92261 184364 184522 368728 369044 599183 738088 1198366 2166277 2396732 4332554 4793464 6959741 8665108 13919482 17330216 27838964 28161601 55677928 56323202 90476633 112646404 180953266 225292808 327107827 361906532 654215654 723813064 1308431308 2616862616 4252401751 8504803502 17009607004 34019214008