Search a number
-
+
33242140140 = 22351137236791
BaseRepresentation
bin11110111101011000…
…101100110111101100
310011210200221200112120
4132331120230313230
51021034441441030
623134330232540
72254525346316
oct367530546754
9104720850476
1033242140140
11131093599a0
126538885750
133199c99611
141874c827b6
15ce859d010
hex7bd62cdec

33242140140 has 144 divisors (see below), whose sum is σ = 104360949504. Its totient is φ = 7840684800.

The previous prime is 33242140121. The next prime is 33242140163. The reversal of 33242140140 is 4104124233.

It is a super-2 number, since 2×332421401402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33242140140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885145 + ... + 921935.

It is an arithmetic number, because the mean of its divisors is an integer number (724728816).

Almost surely, 233242140140 is an apocalyptic number.

33242140140 is a gapful number since it is divisible by the number (30) 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 33242140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52180474752).

33242140140 is an abundant number, since it is smaller than the sum of its proper divisors (71118809364).

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

33242140140 is a wasteful number, since it uses less digits than its factorization.

33242140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36888 (or 36849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33242140140 its reverse (4104124233), we get a palindrome (37346264373).

The spelling of 33242140140 in words is "thirty-three billion, two hundred forty-two million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1369 1628 2035 2220 2442 2738 4070 4107 4884 5476 6105 6845 8140 8214 12210 13690 15059 16428 20535 24420 27380 30118 36791 41070 45177 60236 73582 75295 82140 90354 110373 147164 150590 180708 183955 220746 225885 301180 367910 404701 441492 451770 551865 735820 809402 903540 1103730 1214103 1361267 1618804 2023505 2207460 2428206 2722534 4047010 4083801 4856412 5445068 6070515 6806335 8094020 8167602 12141030 13612670 14973937 16335204 20419005 24282060 27225340 29947874 40838010 44921811 50366879 59895748 74869685 81676020 89843622 100733758 149739370 151100637 179687244 201467516 224609055 251834395 299478740 302201274 449218110 503668790 554035669 604402548 755503185 898436220 1007337580 1108071338 1511006370 1662107007 2216142676 2770178345 3022012740 3324214014 5540356690 6648428028 8310535035 11080713380 16621070070 33242140140