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34214112120 = 23351117255253
BaseRepresentation
bin11111110111010100…
…011110101101111000
310021022102212222102210
4133313110132231320
51030032303041440
623415011055120
72320600104006
oct376724365570
9107272788383
1034214112120
1113567a79921
12676a2a14a0
1332c3472276
141927db5a76
15d53a94a80
hex7f751eb78

34214112120 has 64 divisors (see below), whose sum is σ = 102734629920. Its totient is φ = 9115559424.

The previous prime is 34214112073. The next prime is 34214112131. The reversal of 34214112120 is 2121141243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414 + ... + 261666.

Almost surely, 234214112120 is an apocalyptic number.

34214112120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34214112120 is an abundant number, since it is smaller than the sum of its proper divisors (68520517800).

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

34214112120 is a wasteful number, since it uses less digits than its factorization.

34214112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256384 (or 256380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 34214112120 its reverse (2121141243), we get a palindrome (36335253363).

The spelling of 34214112120 in words is "thirty-four billion, two hundred fourteen million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1117 2234 3351 4468 5585 6702 8936 11170 13404 16755 22340 26808 33510 44680 67020 134040 255253 510506 765759 1021012 1276265 1531518 2042024 2552530 3063036 3828795 5105060 6126072 7657590 10210120 15315180 30630360 285117601 570235202 855352803 1140470404 1425588005 1710705606 2280940808 2851176010 3421411212 4276764015 5702352020 6842822424 8553528030 11404704040 17107056060 34214112120