Search a number
-
+
2020440212240 = 245435979126011
BaseRepresentation
bin11101011001101011100…
…111110000001100010000
321011011002221201012212212
4131121223213300030100
5231100330143242430
64144102153411252
7265654251304412
oct35315347601420
97134087635785
102020440212240
1170995591087a
122876a9409b28
131186b01bc908
146db0b4069b2
1537852701b95
hex1d66b9f0310

2020440212240 has 160 divisors (see below), whose sum is σ = 4950154598400. Its totient is φ = 766173058560.

The previous prime is 2020440212209. The next prime is 2020440212243. The reversal of 2020440212240 is 422120440202.

It is not an unprimeable number, because it can be changed into a prime (2020440212243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15970835 + ... + 16096845.

It is an arithmetic number, because the mean of its divisors is an integer number (30938466240).

Almost surely, 22020440212240 is an apocalyptic number.

2020440212240 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 2020440212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475077299200).

2020440212240 is an abundant number, since it is smaller than the sum of its proper divisors (2929714386160).

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

2020440212240 is a wasteful number, since it uses less digits than its factorization.

2020440212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126205 (or 126199 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2020440212240 its reverse (422120440202), we get a palindrome (2442560652442).

The spelling of 2020440212240 in words is "two trillion, twenty billion, four hundred forty million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 59 79 80 86 118 158 172 215 236 295 316 344 395 430 472 590 632 688 790 860 944 1180 1264 1580 1720 2360 2537 3160 3397 3440 4661 4720 5074 6320 6794 9322 10148 12685 13588 16985 18644 20296 23305 25370 27176 33970 37288 40592 46610 50740 54352 67940 74576 93220 101480 126011 135880 186440 200423 202960 252022 271760 372880 400846 504044 630055 801692 1002115 1008088 1260110 1603384 2004230 2016176 2520220 3206768 4008460 5040440 5418473 7434649 8016920 9954869 10080880 10836946 14869298 16033840 19909738 21673892 27092365 29738596 37173245 39819476 43347784 49774345 54184730 59477192 74346490 79638952 86695568 99548690 108369460 118954384 148692980 159277904 199097380 216738920 297385960 319689907 398194760 428059367 433477840 587337271 594771920 639379814 796389520 856118734 1174674542 1278759628 1598449535 1712237468 2140296835 2349349084 2557519256 2936686355 3196899070 3424474936 4280593670 4698698168 5115038512 5873372710 6393798140 6848949872 8561187340 9397396336 11746745420 12787596280 17122374680 23493490840 25255502653 25575192560 34244749360 46986981680 50511005306 101022010612 126277513265 202044021224 252555026530 404088042448 505110053060 1010220106120 2020440212240