Search a number
-
+
113345530240 = 275296619239
BaseRepresentation
bin110100110001111101…
…0111000100110000000
3101211120020121112002111
41221203322320212000
53324112423431430
6124023100025104
711121544052635
oct1514372704600
9354506545074
10113345530240
1144084662538
1219b73232194
13a8c4660cb7
1456b365218c
152e35b90c2a
hex1a63eb8980

113345530240 has 128 divisors (see below), whose sum is σ = 280764792000. Its totient is φ = 43703869440.

The previous prime is 113345530231. The next prime is 113345530241. The reversal of 113345530240 is 42035543311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113345530241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12263541 + ... + 12272779.

Almost surely, 2113345530240 is an apocalyptic number.

113345530240 is a gapful number since it is divisible by the number (10) 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 113345530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140382396000).

113345530240 is an abundant number, since it is smaller than the sum of its proper divisors (167419261760).

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

113345530240 is an equidigital number, since it uses as much as digits as its factorization.

113345530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 113345530240 in words is "one hundred thirteen billion, three hundred forty-five million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 661 928 1160 1322 1856 2320 2644 3305 3712 4640 5288 6610 9239 9280 10576 13220 18478 18560 19169 21152 26440 36956 38338 42304 46195 52880 73912 76676 84608 92390 95845 105760 147824 153352 184780 191690 211520 267931 295648 306704 369560 383380 423040 535862 591296 613408 739120 766760 1071724 1182592 1226816 1339655 1478240 1533520 2143448 2453632 2679310 2956480 3067040 4286896 5358620 5912960 6106979 6134080 8573792 10717240 12213958 12268160 17147584 21434480 24427916 30534895 34295168 42868960 48855832 61069790 85737920 97711664 122139580 171475840 177102391 195423328 244279160 354204782 390846656 488558320 708409564 781693312 885511955 977116640 1416819128 1771023910 1954233280 2833638256 3542047820 3908466560 5667276512 7084095640 11334553024 14168191280 22669106048 28336382560 56672765120 113345530240