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1114223303440 = 245131989633571
BaseRepresentation
bin10000001101101100111…
…000100101101100010000
310221112000010201110001001
4100031230320211230100
5121223412131202230
62211511144151344
7143333330545342
oct20155470455420
93845003643031
101114223303440
1139a5a3009425
1215bb3b168554
13810bc740360
143bd004ab292
151deb44e30ca
hex1036ce25b10

1114223303440 has 160 divisors (see below), whose sum is σ = 2969678678400. Its totient is φ = 385372753920.

The previous prime is 1114223303429. The next prime is 1114223303447. The reversal of 1114223303440 is 443033224111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1114223303399 and 1114223303408.

It is not an unprimeable number, because it can be changed into a prime (1114223303447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441855 + ... + 2075425.

It is an arithmetic number, because the mean of its divisors is an integer number (18560491740).

Almost surely, 21114223303440 is an apocalyptic number.

1114223303440 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 1114223303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484839339200).

1114223303440 is an abundant number, since it is smaller than the sum of its proper divisors (1855455374960).

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

1114223303440 is a wasteful number, since it uses less digits than its factorization.

1114223303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633705 (or 633699 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1114223303440 its reverse (443033224111), we get a palindrome (1557256527551).

The spelling of 1114223303440 in words is "one trillion, one hundred fourteen billion, two hundred twenty-three million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 89 95 104 130 152 178 190 208 247 260 304 356 380 445 494 520 712 760 890 988 1040 1157 1235 1424 1520 1691 1780 1976 2314 2470 3382 3560 3952 4628 4940 5785 6764 7120 8455 9256 9880 11570 13528 16910 18512 19760 21983 23140 27056 33820 43966 46280 67640 87932 92560 109915 135280 175864 219830 351728 439660 633571 879320 1267142 1758640 2534284 3167855 5068568 6335710 8236423 10137136 12037849 12671420 16472846 24075698 25342840 32945692 41182115 48151396 50685680 56387819 60189245 65891384 82364230 96302792 112775638 120378490 131782768 156492037 164728460 192605584 225551276 240756980 281939095 312984074 329456920 451102552 481513960 563878190 625968148 658913840 733041647 782460185 902205104 963027920 1071368561 1127756380 1251936296 1466083294 1564920370 2142737122 2255512760 2503872592 2932166588 3129840740 3665208235 4285474244 4511025520 5356842805 5864333176 6259681480 7330416470 8570948488 10713685610 11728666352 12519362960 13927791293 14660832940 17141896976 21427371220 27855582586 29321665880 42854742440 55711165172 58643331760 69638956465 85709484880 111422330344 139277912930 222844660688 278555825860 557111651720 1114223303440