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1110134244432 = 24319279810961
BaseRepresentation
bin10000001001111001001…
…010000100010001010000
310221010110011102201121010
4100021321022010101100
5121142023331310212
62205553313330520
7143130106245453
oct20117112042120
93833404381533
101110134244432
11398894926914
1215b199866a40
13808ba539105
143ba333b349a
151dd2552a03c
hex10279284450

1110134244432 has 120 divisors (see below), whose sum is σ = 3065047098240. Its totient is φ = 346130703360.

The previous prime is 1110134244397. The next prime is 1110134244469. The reversal of 1110134244432 is 2344424310111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1110134244432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963432 + ... + 1774392.

It is an arithmetic number, because the mean of its divisors is an integer number (25542059152).

Almost surely, 21110134244432 is an apocalyptic number.

1110134244432 is a gapful number since it is divisible by the number (12) 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 1110134244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532523549120).

1110134244432 is an abundant number, since it is smaller than the sum of its proper divisors (1954912853808).

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

1110134244432 is a wasteful number, since it uses less digits than its factorization.

1110134244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811089 (or 811064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1110134244432 its reverse (2344424310111), we get a palindrome (3454558554543).

The spelling of 1110134244432 in words is "one trillion, one hundred ten billion, one hundred thirty-four million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 361 456 474 632 722 912 948 1083 1264 1444 1501 1896 2166 2888 3002 3792 4332 4503 5776 6004 8664 9006 12008 17328 18012 24016 28519 36024 57038 72048 85557 114076 171114 228152 342228 456304 684456 810961 1368912 1621922 2432883 3243844 4865766 6487688 9731532 12975376 15408259 19463064 30816518 38926128 46224777 61633036 64065919 92449554 123266072 128131838 184899108 192197757 246532144 256263676 292756921 369798216 384395514 512527352 585513842 739596432 768791028 878270763 1025054704 1171027684 1217252461 1537582056 1756541526 2342055368 2434504922 3075164112 3513083052 3651757383 4684110736 4869009844 7026166104 7303514766 9738019688 14052332208 14607029532 19476039376 23127796759 29214059064 46255593518 58428118128 69383390277 92511187036 138766780554 185022374072 277533561108 370044748144 555067122216 1110134244432