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111402314144 = 25115922512383
BaseRepresentation
bin110011111000000011…
…0000110100110100000
3101122112211002220201222
41213300012012212200
53311122443023034
6123102202114212
711022440021612
oct1476006064640
9348484086658
10111402314144
114327777a520
12197104ab968
13a674ba8aa4
14556b538db2
152d7029812e
hex19f01869a0

111402314144 has 96 divisors (see below), whose sum is σ = 243527316480. Its totient is φ = 49736160000.

The previous prime is 111402314137. The next prime is 111402314201. The reversal of 111402314144 is 441413204111.

It is a happy number.

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, 46747577 + ... + 46749959.

It is an arithmetic number, because the mean of its divisors is an integer number (2536742880).

Almost surely, 2111402314144 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 111402314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121763658240).

111402314144 is an abundant number, since it is smaller than the sum of its proper divisors (132125002336).

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

111402314144 is a wasteful number, since it uses less digits than its factorization.

111402314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 111402314144 its reverse (441413204111), we get a palindrome (552815518255).

The spelling of 111402314144 in words is "one hundred eleven billion, four hundred two million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2251 2383 2596 4502 4766 5192 9004 9532 10384 18008 19064 20768 24761 26213 36016 38128 49522 52426 72032 76256 99044 104852 132809 140597 198088 209704 265618 281194 396176 419408 531236 562388 792352 838816 1062472 1124776 1460899 1546567 2124944 2249552 2921798 3093134 4249888 4499104 5364133 5843596 6186268 10728266 11687192 12372536 21456532 23374384 24745072 42913064 46748768 49490144 59005463 85826128 118010926 171652256 236021852 316483847 472043704 632967694 944087408 1265935388 1888174816 2531870776 3481322317 5063741552 6962644634 10127483104 13925289268 27850578536 55701157072 111402314144