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34445500000 = 255668891
BaseRepresentation
bin100000000101000111…
…001001111001100000
310021220120021200221021
4200011013021321200
51031021022000000
623453554335224
72326406630152
oct400507117140
9107816250837
1034445500000
111367664aa7a
12681388a514
13332c399182
14194aa08ad2
15d6904e11a
hex8051c9e60

34445500000 has 84 divisors (see below), whose sum is σ = 84768368076. Its totient is φ = 13778000000.

The previous prime is 34445499971. The next prime is 34445500021. The reversal of 34445500000 is 554443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 465555 + ... + 534445.

It is an arithmetic number, because the mean of its divisors is an integer number (1009147239).

Almost surely, 234445500000 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 34445500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42384184038).

34445500000 is an abundant number, since it is smaller than the sum of its proper divisors (50322868076).

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

34445500000 is an frugal number, since it uses more digits than its factorization.

34445500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68931 (or 68898 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 34445500000 in words is "thirty-four billion, four hundred forty-five million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 50000 62500 68891 100000 125000 137782 250000 275564 344455 500000 551128 688910 1102256 1377820 1722275 2204512 2755640 3444550 5511280 6889100 8611375 11022560 13778200 17222750 27556400 34445500 43056875 55112800 68891000 86113750 137782000 172227500 215284375 275564000 344455000 430568750 688910000 861137500 1076421875 1377820000 1722275000 2152843750 3444550000 4305687500 6889100000 8611375000 17222750000 34445500000