Search a number
-
+
114485110528 = 2829107167863
BaseRepresentation
bin110101010011111011…
…0000010011100000000
3101221111122221012100211
41222213312002130000
53333431142014103
6124332125123504
711162022245305
oct1524766023400
9357448835324
10114485110528
1144609951028
121a2309b9594
13aa4678c469
145780b350ac
152ea0c4436d
hex1aa7d82700

114485110528 has 144 divisors (see below), whose sum is σ = 240319457280. Its totient is φ = 54361223168.

The previous prime is 114485110507. The next prime is 114485110541. The reversal of 114485110528 is 825011584411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132659025 + ... + 132659887.

It is an arithmetic number, because the mean of its divisors is an integer number (1668885120).

Almost surely, 2114485110528 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 114485110528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120159728640).

114485110528 is an abundant number, since it is smaller than the sum of its proper divisors (125834346752).

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

114485110528 is a wasteful number, since it uses less digits than its factorization.

114485110528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 40.

Adding to 114485110528 its reverse (825011584411), we get a palindrome (939496694939).

The spelling of 114485110528 in words is "one hundred fourteen billion, four hundred eighty-five million, one hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 128 167 214 232 256 334 428 464 668 856 863 928 1336 1712 1726 1856 2672 3103 3424 3452 3712 4843 5344 6206 6848 6904 7424 9686 10688 12412 13696 13808 17869 19372 21376 24824 25027 27392 27616 35738 38744 42752 49648 50054 55232 71476 77488 92341 99296 100108 110464 142952 144121 154976 184682 198592 200216 220928 285904 288242 309952 369364 397184 400432 518201 571808 576484 619904 738728 794368 800864 1036402 1143616 1152968 1239808 1477456 1601728 2072804 2287232 2305936 2677889 2954912 3203456 4145608 4179509 4574464 4611872 5355778 5909824 6406912 8291216 8359018 9223744 10711556 11819648 15420947 16582432 16718036 18447488 21423112 23639296 30841894 33164864 33436072 36894976 42846224 61683788 66329728 66872144 85692448 123367576 132659456 133744288 171384896 246735152 267488576 342769792 447207463 493470304 534977152 685539584 894414926 986940608 1069954304 1788829852 1973881216 3577659704 3947762432 7155319408 14310638816 28621277632 57242555264 114485110528