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114143241344440 = 23571177267479629
BaseRepresentation
bin11001111101000000001011…
…010110101001010110111000
3112222010222122202002201110111
4121331000023112221112320
5104430110324241010230
61042432403044554104
733020401633050040
oct3175001326512670
9488128582081414
10114143241344440
1133407971037a60
12109758846b2934
134b8c87a345169
1420287c317a720
15d2e1dac5792a
hex67d00b5a95b8

114143241344440 has 128 divisors (see below), whose sum is σ = 320198839257600. Its totient is φ = 35576579566080.

The previous prime is 114143241344399. The next prime is 114143241344467. The reversal of 114143241344440 is 44443142341411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114143241344393 and 114143241344402.

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 31 ways as a sum of consecutive naturals, for example, 237742546 + ... + 238222174.

It is an arithmetic number, because the mean of its divisors is an integer number (2501553431700).

Almost surely, 2114143241344440 is an apocalyptic number.

114143241344440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114143241344440 is an abundant number, since it is smaller than the sum of its proper divisors (206055597913160).

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

114143241344440 is a wasteful number, since it uses less digits than its factorization.

114143241344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556925 (or 556921 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 114143241344440 its reverse (44443142341411), we get a palindrome (158586383685851).

The spelling of 114143241344440 in words is "one hundred fourteen trillion, one hundred forty-three billion, two hundred forty-one million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 77267 154534 309068 386335 479629 540869 618136 772670 849937 959258 1081738 1545340 1699874 1918516 2163476 2398145 2704345 3090680 3357403 3399748 3837032 4249685 4326952 4796290 5275919 5408690 5949559 6714806 6799496 8499370 9592580 10551838 10817380 11899118 13429612 16787015 16998740 19185160 21103676 21634760 23798236 26379595 26859224 29747795 33574030 33997480 36931433 42207352 47596472 52759190 59495590 67148060 73862866 105518380 118991180 134296120 147725732 184657165 211036760 237982360 295451464 369314330 738628660 1477257320 37059493943 74118987886 148237975772 185297469715 259416457601 296475951544 370594939430 407654433373 518832915202 741189878860 815308866746 1037665830404 1297082288005 1482379757720 1630617733492 2038272166865 2075331660808 2594164576010 2853581033611 3261235466984 4076544333730 5188329152020 5707162067222 8153088667460 10376658304040 11414324134444 14267905168055 16306177334920 22828648268888 28535810336110 57071620672220 114143241344440