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110141442432 = 2732713658413
BaseRepresentation
bin110011010010011110…
…0010000100110000000
3101112021221112222220200
41212210330100212000
53301032202124212
6122333121205200
710646256546030
oct1464474204600
9345257488820
10110141442432
114278aa7798a
121941a190800
13a5038c0958
14548bcc18c0
152ce97366dc
hex19a4f10980

110141442432 has 96 divisors (see below), whose sum is σ = 362221139280. Its totient is φ = 31468981248.

The previous prime is 110141442427. The next prime is 110141442461. The reversal of 110141442432 is 234244141011.

110141442432 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 414 + 4 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1101414424322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110141442396 and 110141442405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6821143 + ... + 6837270.

Almost surely, 2110141442432 is an apocalyptic number.

110141442432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110141442432 is an abundant number, since it is smaller than the sum of its proper divisors (252079696848).

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

110141442432 is a wasteful number, since it uses less digits than its factorization.

110141442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13658440 (or 13658425 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 110141442432 its reverse (234244141011), we get a palindrome (344385583443).

The spelling of 110141442432 in words is "one hundred ten billion, one hundred forty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 13658413 27316826 40975239 54633652 81950478 95608891 109267304 122925717 163900956 191217782 218534608 245851434 286826673 327801912 382435564 437069216 491702868 573653346 655603824 764871128 860480019 874138432 983405736 1147306692 1311207648 1529742256 1720960038 1748276864 1966811472 2294613384 2622415296 3059484512 3441920076 3933622944 4589226768 5244830592 6118969024 6883840152 7867245888 9178453536 12237938048 13767680304 15734491776 18356907072 27535360608 36713814144 55070721216 110141442432