Search a number
-
+
110715014032 = 2476717218573
BaseRepresentation
bin110011100011100100…
…0010000101110010000
3101120202220211110020021
41213013020100232100
53303221020422112
6122510050553224
710666423043320
oct1470710205620
9346686743207
10110715014032
1142a548147a7
121955a298814
13a59569512c
145504149280
152d2ec83907
hex19c7210b90

110715014032 has 80 divisors (see below), whose sum is σ = 248987313792. Its totient is φ = 46708485120.

The previous prime is 110715014023. The next prime is 110715014041. The reversal of 110715014032 is 230410517011.

110715014032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110715014023) and next prime (110715014041).

It is a junction number, because it is equal to n+sod(n) for n = 110715013988 and 110715014006.

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, 12910098 + ... + 12918670.

Almost surely, 2110715014032 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 110715014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124493656896).

110715014032 is an abundant number, since it is smaller than the sum of its proper divisors (138272299760).

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

110715014032 is a wasteful number, since it uses less digits than its factorization.

110715014032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10376 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 110715014032 in words is "one hundred ten billion, seven hundred fifteen million, fourteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1721 1876 3442 3752 6884 7504 8573 12047 13768 17146 24094 27536 34292 48188 60011 68584 96376 115307 120022 137168 192752 230614 240044 461228 480088 574391 807149 922456 960176 1148782 1614298 1844912 2297564 3228596 4020737 4595128 6457192 8041474 9190256 12914384 14754133 16082948 29508266 32165896 59016532 64331792 103278931 118033064 206557862 236066128 413115724 826231448 988526911 1652462896 1977053822 3954107644 6919688377 7908215288 13839376754 15816430576 27678753508 55357507016 110715014032