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1002243144 = 233731533631
BaseRepresentation
bin111011101111010…
…000010001001000
32120211220020010110
4323233100101020
54023033240034
6243241314320
733556632450
oct7357202110
92524806113
101002243144
11474816121
1223b7959a0
1312c8441a6
1497172d60
155cec5de9
hex3bbd0448

1002243144 has 128 divisors (see below), whose sum is σ = 3012526080. Its totient is φ = 271814400.

The previous prime is 1002243133. The next prime is 1002243157. The reversal of 1002243144 is 4413422001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1002243144.

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, 274209 + ... + 277839.

It is an arithmetic number, because the mean of its divisors is an integer number (23535360).

Almost surely, 21002243144 is an apocalyptic number.

1002243144 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 1002243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506263040).

1002243144 is an abundant number, since it is smaller than the sum of its proper divisors (2010282936).

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

1002243144 is a wasteful number, since it uses less digits than its factorization.

1002243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1002243144 is about 31658.2239552379. The cubic root of 1002243144 is about 1000.7471562851.

Adding to 1002243144 its reverse (4413422001), we get a palindrome (5415665145).

The spelling of 1002243144 in words is "one billion, two million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 53 56 62 84 93 106 124 159 168 186 212 217 248 318 371 372 424 434 636 651 742 744 868 1113 1272 1302 1484 1643 1736 2226 2604 2968 3286 3631 4452 4929 5208 6572 7262 8904 9858 10893 11501 13144 14524 19716 21786 23002 25417 29048 34503 39432 43572 46004 50834 69006 76251 87144 92008 101668 112561 138012 152502 192443 203336 225122 276024 305004 337683 384886 450244 577329 610008 675366 769772 787927 900488 1154658 1347101 1350732 1539544 1575854 2309316 2363781 2694202 2701464 3151708 4041303 4618632 4727562 5388404 5965733 6303416 8082606 9455124 10776808 11931466 16165212 17897199 18910248 23862932 32330424 35794398 41760131 47725864 71588796 83520262 125280393 143177592 167040524 250560786 334081048 501121572 1002243144