Search a number
-
+
2406622001840 = 245743329533361
BaseRepresentation
bin100011000001010101110…
…110010111101010110000
322112001220121212202202022
4203001111312113222300
5303412230213024330
65041330433411012
7335605223330630
oct43012566275260
98461817782668
102406622001840
1184870841a181
1232a504a09a68
13145c35a9b6a4
14846a42d46c0
1542905e25ae5
hex23055d97ab0

2406622001840 has 160 divisors (see below), whose sum is σ = 6413585087616. Its totient is φ = 822698311680.

The previous prime is 2406622001837. The next prime is 2406622001867. The reversal of 2406622001840 is 481002266042.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2406622001840.

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, 716041760 + ... + 716045120.

Almost surely, 22406622001840 is an apocalyptic number.

2406622001840 is a gapful number since it is divisible by the number (20) 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 2406622001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206792543808).

2406622001840 is an abundant number, since it is smaller than the sum of its proper divisors (4006963085776).

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

2406622001840 is a wasteful number, since it uses less digits than its factorization.

2406622001840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 2406622001840 its reverse (481002266042), we get a palindrome (2887624267882).

The spelling of 2406622001840 in words is "two trillion, four hundred six billion, six hundred twenty-two million, one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 433 560 866 1732 2165 2953 3031 3361 3464 4330 5906 6062 6722 6928 8660 11812 12124 13444 14765 15155 16805 17320 20671 23527 23624 24248 26888 29530 30310 33610 34640 41342 47054 47248 48496 53776 59060 60620 67220 82684 94108 103355 117635 118120 121240 134440 165368 188216 206710 235270 236240 242480 268880 330736 376432 413420 470540 826840 941080 1278649 1455313 1653680 1882160 2557298 2910626 5114596 5821252 6393245 7276565 8950543 9925033 10187191 10229192 11642504 12786490 14553130 17901086 19850066 20374382 20458384 23285008 25572980 29106260 35802172 39700132 40748764 44752715 49625165 50935955 51145960 58212520 69475231 71604344 79400264 81497528 89505430 99250330 101871910 102291920 116425040 138950462 143208688 158800528 162995056 179010860 198500660 203743820 277900924 347376155 358021720 397001320 407487640 555801848 694752310 716043440 794002640 814975280 1111603696 1389504620 2779009240 4297539289 5558018480 8595078578 17190157156 21487696445 30082775023 34380314312 42975392890 60165550046 68760628624 85950785780 120331100092 150413875115 171901571560 240662200184 300827750230 343803143120 481324400368 601655500460 1203311000920 2406622001840