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1151021540424 = 2337307110320233
BaseRepresentation
bin10000101111111110001…
…110101110010001001000
311002000222200002120101010
4100233332032232101020
5122324243003243144
62240434430123520
7146105246444160
oct20577616562110
94060880076333
101151021540424
1140416671a528
121670aa9505a0
1384705387792
143d9d17515a0
151ee19d7e5b9
hex10bfe3ae448

1151021540424 has 128 divisors (see below), whose sum is σ = 3302499594240. Its totient is φ = 327478712832.

The previous prime is 1151021540419. The next prime is 1151021540437. The reversal of 1151021540424 is 4240451201511.

It is a junction number, because it is equal to n+sod(n) for n = 1151021540391 and 1151021540400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56878212 + ... + 56898444.

It is an arithmetic number, because the mean of its divisors is an integer number (25800778080).

Almost surely, 21151021540424 is an apocalyptic number.

1151021540424 is a gapful number since it is divisible by the number (14) 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 1151021540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651249797120).

1151021540424 is an abundant number, since it is smaller than the sum of its proper divisors (2151478053816).

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

1151021540424 is a wasteful number, since it uses less digits than its factorization.

1151021540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 1151021540424 its reverse (4240451201511), we get a palindrome (5391472741935).

The spelling of 1151021540424 in words is "one trillion, one hundred fifty-one billion, twenty-one million, five hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1103 1228 1842 2149 2206 2456 3309 3684 4298 4412 6447 6618 7368 7721 8596 8824 12894 13236 15442 17192 20233 23163 25788 26472 30884 40466 46326 51576 60699 61768 80932 92652 121398 141631 161864 185304 242796 283262 338621 424893 485592 566524 677242 849786 1015863 1133048 1354484 1699572 2031726 2370347 2708968 3399144 4063452 4740694 6211531 7111041 8126904 9481388 12423062 14222082 18634593 18962776 22316999 24846124 28444164 37269186 43480717 44633998 49692248 56888328 66950997 74538372 86961434 89267996 130442151 133901994 149076744 156218993 173922868 178535992 260884302 267803988 312437986 347845736 468656979 521768604 535607976 624875972 937313958 1043537208 1249751944 1874627916 3749255832 6851318693 13702637386 20553956079 27405274772 41107912158 47959230851 54810549544 82215824316 95918461702 143877692553 164431648632 191836923404 287755385106 383673846808 575510770212 1151021540424