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4286144901990 = 2357671702717891
BaseRepresentation
bin111110010111110010001…
…001001111001101100110
3120011202021210210211021010
4332113302021033031212
51030211011043330430
613041010000203050
7621443444354640
oct76276211171546
916152253724233
104286144901990
11140282006a746
12592825309486
13251249350aa3
1410b644327890
157675c109cb0
hex3e5f224f366

4286144901990 has 128 divisors (see below), whose sum is σ = 11933117779968. Its totient is φ = 964957403520.

The previous prime is 4286144901977. The next prime is 4286144902021. The reversal of 4286144901990 is 991094416824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4286144901990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239560945 + ... + 239578835.

It is an arithmetic number, because the mean of its divisors is an integer number (93227482656).

Almost surely, 24286144901990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4286144901990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966558889984).

4286144901990 is an abundant number, since it is smaller than the sum of its proper divisors (7646972877978).

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

4286144901990 is a wasteful number, since it uses less digits than its factorization.

4286144901990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35002.

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 4286144901990 in words is "four trillion, two hundred eighty-six billion, one hundred forty-four million, nine hundred one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 17027 17891 34054 35782 51081 53673 85135 89455 102162 107346 119189 125237 170270 178910 238378 250474 255405 268365 357567 375711 510810 536730 595945 626185 715134 751422 1140809 1191890 1198697 1252370 1787835 1878555 2281618 2397394 3422427 3575670 3596091 3757110 5704045 5993485 6844854 7192182 7985663 8390879 11408090 11986970 15971326 16781758 17112135 17980455 23956989 25172637 34224270 35960910 39928315 41954395 47913978 50345274 79856630 83908790 119784945 125863185 239569890 251726370 304630057 609260114 913890171 1523150285 1827780342 2132410399 3046300570 4264820798 4569450855 6397231197 9138901710 10662051995 12794462394 20410213819 21324103990 31986155985 40820427638 61230641457 63972311970 102051069095 122461282914 142871496733 204102138190 285742993466 306153207285 428614490199 612306414570 714357483665 857228980398 1428714967330 2143072450995 4286144901990