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2240433334020 = 2235714933572917
BaseRepresentation
bin100000100110100100001…
…110111010011100000100
321221011221122120201111010
4200212210032322130010
5243201401413142040
64433124005442220
7320603012060250
oct40464416723404
97834848521433
102240433334020
11794187233312
12302264710370
1313336c648a5b
147a61a8dd260
153d42aed3e80
hex209a43ba704

2240433334020 has 96 divisors (see below), whose sum is σ = 7174190677248. Its totient is φ = 511755904512.

The previous prime is 2240433334019. The next prime is 2240433334079. The reversal of 2240433334020 is 204333340422.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1159399 + ... + 2413518.

It is an arithmetic number, because the mean of its divisors is an integer number (74731152888).

Almost surely, 22240433334020 is an apocalyptic number.

2240433334020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240433334020 is an abundant number, since it is smaller than the sum of its proper divisors (4933757343228).

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

2240433334020 is a wasteful number, since it uses less digits than its factorization.

2240433334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574429 (or 3574427 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 2240433334020 its reverse (204333340422), we get a palindrome (2444766674442).

The spelling of 2240433334020 in words is "two trillion, two hundred forty billion, four hundred thirty-three million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1493 2986 4479 5972 7465 8958 10451 14930 17916 20902 22395 29860 31353 41804 44790 52255 62706 89580 104510 125412 156765 209020 313530 627060 3572917 7145834 10718751 14291668 17864585 21437502 25010419 35729170 42875004 50020838 53593755 71458340 75031257 100041676 107187510 125052095 150062514 214375020 250104190 300125028 375156285 500208380 750312570 1500625140 5334365081 10668730162 16003095243 21337460324 26671825405 32006190486 37340555567 53343650810 64012380972 74681111134 80015476215 106687301620 112021666701 149362222268 160030952430 186702777835 224043333402 320061904860 373405555670 448086666804 560108333505 746811111340 1120216667010 2240433334020