Search a number
-
+
10114140032 = 273711318899
BaseRepresentation
bin10010110101101100…
…11000011110000000
3222002212112112210222
421122312120132000
5131203204440112
64351341042212
7505431525503
oct113266303600
928085475728
1010114140032
114320194117
121b63256368
13c52542059
146bd39513a
153e2e07372
hex25ad98780

10114140032 has 64 divisors (see below), whose sum is σ = 20878074000. Its totient is φ = 4876591104.

The previous prime is 10114140007. The next prime is 10114140119. The reversal of 10114140032 is 23004141101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101141400322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525719 + ... + 544617.

Almost surely, 210114140032 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 10114140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439037000).

10114140032 is an abundant number, since it is smaller than the sum of its proper divisors (10763933968).

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

10114140032 is a wasteful number, since it uses less digits than its factorization.

10114140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19063 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10114140032 its reverse (23004141101), we get a palindrome (33118281133).

The spelling of 10114140032 in words is "ten billion, one hundred fourteen million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 148 226 296 452 592 904 1184 1808 2368 3616 4181 4736 7232 8362 14464 16724 18899 33448 37798 66896 75596 133792 151192 267584 302384 535168 604768 699263 1209536 1398526 2135587 2419072 2797052 4271174 5594104 8542348 11188208 17084696 22376416 34169392 44752832 68338784 79016719 89505664 136677568 158033438 273355136 316066876 632133752 1264267504 2528535008 5057070016 10114140032