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111434156016 = 24329142756099
BaseRepresentation
bin110011111000111111…
…1100100011111110000
3101122122001000122120120
41213301333210133300
53311204120443031
6123105300410240
711023304461221
oct1476177443760
9348561018516
10111434156016
1143293748817
121971b0a6980
13a67b677231
145571867248
152d72e87a96
hex19f1fe47f0

111434156016 has 80 divisors (see below), whose sum is σ = 298012176000. Its totient is φ = 35838095104.

The previous prime is 111434155999. The next prime is 111434156021. The reversal of 111434156016 is 610651434111.

111434156016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1114341560162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958335 + ... + 2014433.

It is an arithmetic number, because the mean of its divisors is an integer number (3725152200).

Almost surely, 2111434156016 is an apocalyptic number.

111434156016 is a gapful number since it is divisible by the number (16) 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 111434156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149006088000).

111434156016 is an abundant number, since it is smaller than the sum of its proper divisors (186578019984).

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

111434156016 is a wasteful number, since it uses less digits than its factorization.

111434156016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57566 (or 57560 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 111434156016 in words is "one hundred eleven billion, four hundred thirty-four million, one hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1427 2854 4281 5708 8562 11416 17124 22832 34248 41383 56099 68496 82766 112198 124149 165532 168297 224396 248298 331064 336594 448792 496596 662128 673188 897584 993192 1346376 1626871 1986384 2692752 3253742 4880613 6507484 9761226 13014968 19522452 26029936 39044904 78089808 80053273 160106546 240159819 320213092 480319638 640426184 960639276 1280852368 1921278552 2321544917 3842557104 4643089834 6964634751 9286179668 13929269502 18572359336 27858539004 37144718672 55717078008 111434156016