Search a number
-
+
34021427696480 = 255730376274729
BaseRepresentation
bin1111011110001001110110…
…00111001101001101100000
311110110102020210101020001102
413233010323013031031200
513424401340442241410
6200205121135053532
710110652456664540
oct757047307151540
9143412223336042
1034021427696480
11a927451aa8194
1239956b73712a8
1315ca28c63a713
14858908453320
153dee970162a5
hex1ef13b1cd360

34021427696480 has 48 divisors (see below), whose sum is σ = 91857854783520. Its totient is φ = 11664489495552.

The previous prime is 34021427696467. The next prime is 34021427696491. The reversal of 34021427696480 is 8469672412043.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15188136245 + ... + 15188138484.

It is an arithmetic number, because the mean of its divisors is an integer number (1913705307990).

Almost surely, 234021427696480 is an apocalyptic number.

It is an amenable number.

34021427696480 is an abundant number, since it is smaller than the sum of its proper divisors (57836427087040).

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

34021427696480 is a wasteful number, since it uses less digits than its factorization.

34021427696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30376274751 (or 30376274743 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 56.

The spelling of 34021427696480 in words is "thirty-four trillion, twenty-one billion, four hundred twenty-seven million, six hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 30376274729 60752549458 121505098916 151881373645 212633923103 243010197832 303762747290 425267846206 486020395664 607525494580 850535692412 972040791328 1063169615515 1215050989160 1701071384824 2126339231030 2430101978320 3402142769648 4252678462060 4860203956640 6804285539296 8505356924120 17010713848240 34021427696480