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34145434120 = 23571013120383
BaseRepresentation
bin11111110011001110…
…011111101000001000
310021010122122202221011
4133303032133220020
51024412212342440
623404115053304
72316104254420
oct376316375010
9107118582834
1034145434120
1113532231046
12674b2a1234
1332b21773b5
14191cc19480
15d4ca2a9ea
hex7f339fa08

34145434120 has 64 divisors (see below), whose sum is σ = 87889950720. Its totient is φ = 11695352064.

The previous prime is 34145434091. The next prime is 34145434157. The reversal of 34145434120 is 2143454143.

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, 223449 + ... + 343831.

It is an arithmetic number, because the mean of its divisors is an integer number (1373280480).

Almost surely, 234145434120 is an apocalyptic number.

It is an amenable number.

34145434120 is an abundant number, since it is smaller than the sum of its proper divisors (53744516600).

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

34145434120 is a wasteful number, since it uses less digits than its factorization.

34145434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121414 (or 121410 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34145434120 its reverse (2143454143), we get a palindrome (36288888263).

The spelling of 34145434120 in words is "thirty-four billion, one hundred forty-five million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1013 2026 4052 5065 7091 8104 10130 14182 20260 28364 35455 40520 56728 70910 120383 141820 240766 283640 481532 601915 842681 963064 1203830 1685362 2407660 3370724 4213405 4815320 6741448 8426810 16853620 33707240 121947979 243895958 487791916 609739895 853635853 975583832 1219479790 1707271706 2438959580 3414543412 4268179265 4877919160 6829086824 8536358530 17072717060 34145434120