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34224113504 = 2572175312451
BaseRepresentation
bin11111110111111010…
…101000011101100000
310021100010201002202102
4133313322220131200
51030042333113004
623420005305532
72321051110400
oct376772503540
9107303632672
1034224113504
1113572690029
1267717052a8
1332c5564649
14192945a800
15d548bd11e
hex7f7ea8760

34224113504 has 72 divisors (see below), whose sum is σ = 78430341528. Its totient is φ = 14657932800.

The previous prime is 34224113477. The next prime is 34224113579. The reversal of 34224113504 is 40531142243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2742479 + ... + 2754929.

It is an arithmetic number, because the mean of its divisors is an integer number (1089310299).

Almost surely, 234224113504 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 34224113504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39215170764).

34224113504 is an abundant number, since it is smaller than the sum of its proper divisors (44206228024).

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

34224113504 is a wasteful number, since it uses less digits than its factorization.

34224113504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 34224113504 its reverse (40531142243), we get a palindrome (74755255747).

The spelling of 34224113504 in words is "thirty-four billion, two hundred twenty-four million, one hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1753 3506 7012 12271 12451 14024 24542 24902 28048 49084 49804 56096 85897 87157 98168 99608 171794 174314 196336 199216 343588 348628 392672 398432 610099 687176 697256 1220198 1374352 1394512 2440396 2748704 2789024 4880792 9761584 19523168 21826603 43653206 87306412 152786221 174612824 305572442 349225648 611144884 698451296 1069503547 1222289768 2139007094 2444579536 4278014188 4889159072 8556028376 17112056752 34224113504