Search a number
-
+
34124801488 = 2417315097951
BaseRepresentation
bin11111110001111111…
…110010010111010000
310021002012211112021121
4133301333302113100
51024341422121423
623402100532024
72315434012111
oct376177622720
9107065745247
1034124801488
1113521619488
1267443b1014
1332aab0203b
14191a1a8208
15d4ad0245d
hex7f1ff25d0

34124801488 has 80 divisors (see below), whose sum is σ = 72415365120. Its totient is φ = 15508224000.

The previous prime is 34124801453. The next prime is 34124801489. The reversal of 34124801488 is 88410842143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124801489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287913 + ... + 4295863.

It is an arithmetic number, because the mean of its divisors is an integer number (905192064).

Almost surely, 234124801488 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 34124801488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36207682560).

34124801488 is an abundant number, since it is smaller than the sum of its proper divisors (38290563632).

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

34124801488 is a wasteful number, since it uses less digits than its factorization.

34124801488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 34124801488 in words is "thirty-four billion, one hundred twenty-four million, eight hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 509 527 1018 1054 2036 2108 4072 4216 7951 8144 8432 8653 15779 15902 17306 31558 31804 34612 63116 63608 69224 126232 127216 135167 138448 246481 252464 268243 270334 492962 536486 540668 985924 1072972 1081336 1971848 2145944 2162672 3943696 4047059 4190177 4291888 8094118 8380354 16188236 16760708 32376472 33521416 64752944 67042832 68800003 125458829 137600006 250917658 275200012 501835316 550400024 1003670632 1100800048 2007341264 2132800093 4265600186 8531200372 17062400744 34124801488