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2213115241040 = 245114786362003
BaseRepresentation
bin100000001101000111111…
…100101010001001010000
321211120102210202210220122
4200031013330222021100
5242224430000203130
64412405140125412
7315615026110304
oct40150774521120
97746383683818
102213115241040
11783638948770
122b8abb996868
13130907aa3cb2
1479188737d04
153c87ca692e5
hex20347f2a250

2213115241040 has 160 divisors (see below), whose sum is σ = 5739431510016. Its totient is φ = 786721057280.

The previous prime is 2213115241031. The next prime is 2213115241063. The reversal of 2213115241040 is 401425113122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35662679 + ... + 35724681.

Almost surely, 22213115241040 is an apocalyptic number.

2213115241040 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 2213115241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869715755008).

2213115241040 is an abundant number, since it is smaller than the sum of its proper divisors (3526316268976).

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

2213115241040 is a wasteful number, since it uses less digits than its factorization.

2213115241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62937 (or 62931 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 2213115241040 in words is "two trillion, two hundred thirteen billion, one hundred fifteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 863 880 940 1034 1726 1880 2068 2585 3452 3760 4136 4315 5170 6904 8272 8630 9493 10340 13808 17260 18986 20680 34520 37972 40561 41360 47465 62003 69040 75944 81122 94930 124006 151888 162244 189860 202805 248012 310015 324488 379720 405610 446171 496024 620030 648976 682033 759440 811220 892342 992048 1240060 1364066 1622440 1784684 2230855 2480120 2728132 2914141 3244880 3410165 3569368 4461710 4960240 5456264 5828282 6820330 7138736 8923420 10912528 11656564 13640660 14570705 17846840 23313128 27281320 29141410 32055551 35693680 46626256 53508589 54562640 58282820 64111102 107017178 116565640 128222204 160277755 214034356 233131280 256444408 267542945 320555510 428068712 512888816 535085890 588594479 641111020 856137424 1070171780 1177188958 1282222040 2140343560 2354377916 2514903683 2564444080 2942972395 4280687120 4708755832 5029807366 5885944790 9417511664 10059614732 11771889580 12574518415 20119229464 23543779160 25149036830 27663940513 40238458928 47087558320 50298073660 55327881026 100596147320 110655762052 138319702565 201192294640 221311524104 276639405130 442623048208 553278810260 1106557620520 2213115241040