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40214444422140 = 223258316716118143
BaseRepresentation
bin10010010010011001001111…
…01011001011001111111100
312021101110111202221100221200
421021030213223023033330
520232333140233002030
6221310132152255500
711320253264414442
oct1111144753131774
9167343452840850
1040214444422140
11118a493954042a
1246159b40a1590
13195928a2bb691
149d0564abcb92
1549b10b30ed60
hex249327acb3fc

40214444422140 has 144 divisors (see below), whose sum is σ = 124192749477888. Its totient is φ = 10531207147392.

The previous prime is 40214444422099. The next prime is 40214444422147. The reversal of 40214444422140 is 4122444441204.

40214444422140 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 4 + 4 + 422 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40214444422095 and 40214444422104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214444422147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5564092 + ... + 10554051.

It is an arithmetic number, because the mean of its divisors is an integer number (862449649152).

Almost surely, 240214444422140 is an apocalyptic number.

It is an amenable number.

40214444422140 is an abundant number, since it is smaller than the sum of its proper divisors (83978305055748).

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

40214444422140 is a wasteful number, since it uses less digits than its factorization.

40214444422140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16118408 (or 16118403 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 40214444422140 its reverse (4122444441204), we get a palindrome (44336888863344).

The spelling of 40214444422140 in words is "forty trillion, two hundred fourteen billion, four hundred forty-four million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 167 180 249 332 334 415 498 501 668 747 830 835 996 1002 1245 1494 1503 1660 1670 2004 2490 2505 2988 3006 3340 3735 4980 5010 6012 7470 7515 10020 13861 14940 15030 27722 30060 41583 55444 69305 83166 124749 138610 166332 207915 249498 277220 415830 498996 623745 831660 1247490 2494980 16118143 32236286 48354429 64472572 80590715 96708858 145063287 161181430 193417716 241772145 290126574 322362860 483544290 580253148 725316435 967088580 1337805869 1450632870 2675611738 2691729881 2901265740 4013417607 5351223476 5383459762 6689029345 8026835214 8075189643 10766919524 12040252821 13378058690 13458649405 16053670428 16150379286 20067088035 24080505642 24225568929 26756117380 26917298810 32300758572 40134176070 40375948215 48161011284 48451137858 53834597620 60201264105 80268352140 80751896430 96902275716 120402528210 121127844645 161503792860 223413580123 240805056420 242255689290 446827160246 484511378580 670240740369 893654320492 1117067900615 1340481480738 2010722221107 2234135801230 2680962961476 3351203701845 4021444442214 4468271602460 6702407403690 8042888884428 10053611105535 13404814807380 20107222211070 40214444422140