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34014555450 = 2335225195967
BaseRepresentation
bin11111101011011011…
…001110110100111010
310020210112101110011000
4133223123032310322
51024130211233300
623343121545430
72312624644101
oct375333166472
9106715343130
1034014555450
1113475369a57
1267134a5276
1332910119b5
1419096ab038
15d412c6c00
hex7eb6ced3a

34014555450 has 48 divisors (see below), whose sum is σ = 93729000960. Its totient is φ = 9070547760.

The previous prime is 34014555431. The next prime is 34014555473. The reversal of 34014555450 is 5455541043.

34014555450 is a `hidden beast` number, since 3 + 40 + 14 + 5 + 554 + 50 = 666.

It is a super-2 number, since 2×340145554502 (a number of 22 digits) contains 22 as substring.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 12596634 + ... + 12599333.

It is an arithmetic number, because the mean of its divisors is an integer number (1952687520).

Almost surely, 234014555450 is an apocalyptic number.

34014555450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34014555450 is an abundant number, since it is smaller than the sum of its proper divisors (59714445510).

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

34014555450 is a wasteful number, since it uses less digits than its factorization.

34014555450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25195988 (or 25195977 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 34014555450 in words is "thirty-four billion, fourteen million, five hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 25195967 50391934 75587901 125979835 151175802 226763703 251959670 377939505 453527406 629899175 680291109 755879010 1133818515 1259798350 1360582218 1889697525 2267637030 3401455545 3779395050 5669092575 6802911090 11338185150 17007277725 34014555450