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1111314143440 = 24529811590647
BaseRepresentation
bin10000001010111111011…
…111000001100011010000
310221020111101121210202101
4100022333133001203100
5121201432410042230
62210310342530144
7143201254234324
oct20127737014320
93836441553671
101111314143440
1139933a953466
1215b468a36954
1380a47b131c7
143bb05d8d984
151dd93de4aca
hex102bf7c18d0

1111314143440 has 80 divisors (see below), whose sum is σ = 2676202462080. Its totient is φ = 428667240960.

The previous prime is 1111314143413. The next prime is 1111314143473. The reversal of 1111314143440 is 443414131111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1111314143399 and 1111314143408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586197 + ... + 2176843.

It is an arithmetic number, because the mean of its divisors is an integer number (33452530776).

Almost surely, 21111314143440 is an apocalyptic number.

1111314143440 is a gapful number since it is divisible by the number (10) 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 1111314143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338101231040).

1111314143440 is an abundant number, since it is smaller than the sum of its proper divisors (1564888318640).

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

1111314143440 is a wasteful number, since it uses less digits than its factorization.

1111314143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591500 (or 591494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 1111314143440 its reverse (443414131111), we get a palindrome (1554728274551).

The spelling of 1111314143440 in words is "one trillion, one hundred eleven billion, three hundred fourteen million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 811 1160 1622 2320 3244 4055 6488 8110 12976 16220 23519 32440 47038 64880 94076 117595 188152 235190 376304 470380 590647 940760 1181294 1881520 2362588 2953235 4725176 5906470 9450352 11812940 17128763 23625880 34257526 47251760 68515052 85643815 137030104 171287630 274060208 342575260 479014717 685150520 958029434 1370301040 1916058868 2395073585 3832117736 4790147170 7664235472 9580294340 13891426793 19160588680 27782853586 38321177360 55565707172 69457133965 111131414344 138914267930 222262828688 277828535860 555657071720 1111314143440