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540021540214220 = 2252928120111647649
BaseRepresentation
bin111101011001001011001000…
…0000100110101010111001100
32121211001112222122012220200212
41322302112100010311113030
51031240203103243323340
65152310245403341552
7221514161121022661
oct17262262004652714
92554045878186625
10540021540214220
11147081938133679
12506979612218b8
131a242a7476852c
14974d2795cba68
1542672ed6c5a65
hex1eb25901355cc

540021540214220 has 96 divisors (see below), whose sum is σ = 1177911311976000. Its totient is φ = 207714369945600.

The previous prime is 540021540214217. The next prime is 540021540214241. The reversal of 540021540214220 is 22412045120045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326928956 + ... + 328576604.

It is an arithmetic number, because the mean of its divisors is an integer number (12269909499750).

Almost surely, 2540021540214220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540021540214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588955655988000).

540021540214220 is an abundant number, since it is smaller than the sum of its proper divisors (637889771761780).

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

540021540214220 is a wasteful number, since it uses less digits than its factorization.

540021540214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649979 (or 1649977 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 540021540214220 its reverse (22412045120045), we get a palindrome (562433585334265).

The spelling of 540021540214220 in words is "five hundred forty trillion, twenty-one billion, five hundred forty million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 281 290 562 580 1124 1405 2011 2810 4022 5620 8044 8149 10055 16298 20110 32596 40220 40745 58319 81490 116638 162980 233276 291595 565091 583190 1130182 1166380 1647649 2260364 2825455 3295298 5650910 6590596 8238245 11301820 16387639 16476490 32775278 32952980 47781821 65550556 81938195 95563642 163876390 191127284 238909105 327752780 462989369 477818210 925978738 955636420 1851957476 2314946845 3313422139 4629893690 6626844278 9259787380 13253688556 13426691701 16567110695 26853383402 33134221390 53706766804 66268442780 67133458505 96089242031 134266917010 192178484062 268533834020 384356968124 480446210155 931071621059 960892420310 1862143242118 1921784840620 3724286484236 4655358105295 9310716210590 18621432421180 27001077010711 54002154021422 108004308042844 135005385053555 270010770107110 540021540214220