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22133042444040 = 23351125765243021
BaseRepresentation
bin1010000100001010000000…
…01000011111011100001000
32220100220020210010202212020
411002011000020133130020
510400111432331202130
6115023440200244440
74443026265444363
oct502050010373410
986326223122766
1022133042444040
1170636304a8210
122595647170720
13c471a1b45278
145673602ab0da
15285ae7d51e10
hex14214021f708

22133042444040 has 128 divisors (see below), whose sum is σ = 72717262600320. Its totient is φ = 5344708198400.

The previous prime is 22133042444021. The next prime is 22133042444057. The reversal of 22133042444040 is 4044424033122.

It is a super-2 number, since 2×221330424440402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22133042443992 and 22133042444010.

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, 32282271 + ... + 32960750.

It is an arithmetic number, because the mean of its divisors is an integer number (568103614065).

Almost surely, 222133042444040 is an apocalyptic number.

22133042444040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133042444040 is an abundant number, since it is smaller than the sum of its proper divisors (50584220156280).

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

22133042444040 is a wasteful number, since it uses less digits than its factorization.

22133042444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65243303 (or 65243299 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 22133042444040 its reverse (4044424033122), we get a palindrome (26177466477162).

The spelling of 22133042444040 in words is "twenty-two trillion, one hundred thirty-three billion, forty-two million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 257 264 330 440 514 660 771 1028 1285 1320 1542 2056 2570 2827 3084 3855 5140 5654 6168 7710 8481 10280 11308 14135 15420 16962 22616 28270 30840 33924 42405 56540 67848 84810 113080 169620 339240 65243021 130486042 195729063 260972084 326215105 391458126 521944168 652430210 717673231 782916252 978645315 1304860420 1435346462 1565832504 1957290630 2153019693 2609720840 2870692924 3588366155 3914581260 4306039386 5741385848 7176732310 7829162520 8612078772 10765098465 14353464620 16767456397 17224157544 21530196930 28706929240 33534912794 43060393860 50302369191 67069825588 83837281985 86120787720 100604738382 134139651176 167674563970 184442020367 201209476764 251511845955 335349127940 368884040734 402418953528 503023691910 553326061101 670698255880 737768081468 922210101835 1006047383820 1106652122202 1475536162936 1844420203670 2012094767640 2213304244404 2766630305505 3688840407340 4426608488808 5533260611010 7377680814680 11066521222020 22133042444040