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1114153040240 = 245131193550841
BaseRepresentation
bin10000001101101000101…
…100100011100101110000
310221111211020111201001022
4100031220230203211300
5121223241134241430
62211500154155012
7143331515404352
oct20155054434560
93844736451038
101114153040240
1139a567388669
1215bb1b722a68
13810ab00bab6
143bcd501b0d2
151dead2644e5
hex10368b23970

1114153040240 has 80 divisors (see below), whose sum is σ = 2623708920096. Its totient is φ = 439966924800.

The previous prime is 1114153040207. The next prime is 1114153040257. The reversal of 1114153040240 is 420403514111.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1747220 + ... + 2298060.

Almost surely, 21114153040240 is an apocalyptic number.

1114153040240 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 1114153040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311854460048).

1114153040240 is an abundant number, since it is smaller than the sum of its proper divisors (1509555879856).

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

1114153040240 is a wasteful number, since it uses less digits than its factorization.

1114153040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551178 (or 551172 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1114153040240 its reverse (420403514111), we get a palindrome (1534556554351).

The spelling of 1114153040240 in words is "one trillion, one hundred fourteen billion, one hundred fifty-three million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 193 262 386 524 655 772 965 1048 1310 1544 1930 2096 2620 3088 3860 5240 7720 10480 15440 25283 50566 101132 126415 202264 252830 404528 505660 550841 1011320 1101682 2022640 2203364 2754205 4406728 5508410 8813456 11016820 22033640 44067280 72160171 106312313 144320342 212624626 288640684 360800855 425249252 531561565 577281368 721601710 850498504 1063123130 1154562736 1443203420 1700997008 2126246260 2886406840 4252492520 5772813680 8504985040 13926913003 27853826006 55707652012 69634565015 111415304024 139269130030 222830608048 278538260060 557076520120 1114153040240