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34020060879480 = 233513831078124371
BaseRepresentation
bin1111011110000111010011…
…01001001101101001111000
311110110021201112110201121120
413233003221221031221320
513424341041041120410
6200204333351305240
710110603552145404
oct757035151155170
9143407645421546
1034020060879480
11a926910513365
12399539567b220
1315ca102409970
14858818adc104
153dee17028570
hex1ef0e9a4da78

34020060879480 has 256 divisors, whose sum is σ = 111250076797440. Its totient is φ = 8272168396800.

The previous prime is 34020060879479. The next prime is 34020060879499. The reversal of 34020060879480 is 8497806002043.

It is a super-2 number, since 2×340200608794802 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395911695 + ... + 1395936065.

It is an arithmetic number, because the mean of its divisors is an integer number (434570612490).

Almost surely, 234020060879480 is an apocalyptic number.

34020060879480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34020060879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55625038398720).

34020060879480 is an abundant number, since it is smaller than the sum of its proper divisors (77230015917960).

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

34020060879480 is a wasteful number, since it uses less digits than its factorization.

34020060879480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35262 (or 35258 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 34020060879480 in words is "thirty-four trillion, twenty billion, sixty million, eight hundred seventy-nine thousand, four hundred eighty".