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4314101110044 = 22311174276744953
BaseRepresentation
bin111110110001110100011…
…101101101010100011100
3120021102110010100100011020
4332301310131231110130
51031140234341010134
613101512022524140
7623453306251455
oct76616435552434
916242403310136
104314101110044
111413666676620
12598127896650
13253a8317802b
1410cb3715812c
15773465c0b49
hex3ec7476d51c

4314101110044 has 96 divisors (see below), whose sum is σ = 11627840480256. Its totient is φ = 1230347028480.

The previous prime is 4314101110043. The next prime is 4314101110051. The reversal of 4314101110044 is 4400111014134.

It is a super-2 number, since 2×43141011100442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314101109996 and 4314101110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314101110043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95946672 + ... + 95991624.

It is an arithmetic number, because the mean of its divisors is an integer number (121123338336).

Almost surely, 24314101110044 is an apocalyptic number.

4314101110044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4314101110044 is an abundant number, since it is smaller than the sum of its proper divisors (7313739370212).

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

4314101110044 is a wasteful number, since it uses less digits than its factorization.

4314101110044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87755 (or 87753 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4314101110044 its reverse (4400111014134), we get a palindrome (8714212124178).

The spelling of 4314101110044 in words is "four trillion, three hundred fourteen billion, one hundred one million, one hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 42767 44953 85534 89906 128301 134859 171068 179812 256602 269718 470437 494483 513204 539436 727039 764201 940874 988966 1411311 1454078 1483449 1528402 1881748 1977932 2181117 2292603 2822622 2908156 2966898 3056804 4362234 4585206 5645244 5933796 7997429 8406211 8724468 9170412 15994858 16812422 23992287 25218633 31989716 33624844 47984574 50437266 95969148 100874532 1922504951 3845009902 5767514853 7690019804 11535029706 21147554461 23070059412 32682584167 42295108922 63442663383 65365168334 84590217844 98047752501 126885326766 130730336668 196095505002 253770653532 359508425837 392191010004 719016851674 1078525277511 1438033703348 2157050555022 4314101110044