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42025103444240 = 2457532156965647
BaseRepresentation
bin10011000111000101110110…
…10111001100100100010000
312111210120010201022221220122
421203202323113030210100
521002014402440203430
6225214022131125412
711565133145231630
oct1143427327144420
9174716121287818
1042025103444240
1112432823336094
1248688b6143868
131a5ac47913747
14a54050d5c6c0
154cd281a01ee5
hex2638bb5cc910

42025103444240 has 160 divisors (see below), whose sum is σ = 113780630430720. Its totient is φ = 14135875633152.

The previous prime is 42025103444209. The next prime is 42025103444351. The reversal of 42025103444240 is 4244430152024.

It is a super-2 number, since 2×420251034442402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42025103444240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640135097 + ... + 640200743.

It is an arithmetic number, because the mean of its divisors is an integer number (711128940192).

Almost surely, 242025103444240 is an apocalyptic number.

42025103444240 is a gapful number since it is divisible by the number (40) 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 42025103444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56890315215360).

42025103444240 is an abundant number, since it is smaller than the sum of its proper divisors (71755526986480).

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

42025103444240 is a wasteful number, since it uses less digits than its factorization.

42025103444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87289 (or 87283 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 42025103444240 its reverse (4244430152024), we get a palindrome (46269533596264).

The spelling of 42025103444240 in words is "forty-two trillion, twenty-five billion, one hundred three million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5936 7420 14840 21569 29680 43138 65647 86276 107845 131294 150983 172552 215690 262588 301966 328235 345104 431380 459529 525176 603932 656470 754915 862760 919058 1050352 1143157 1207864 1312940 1509830 1725520 1838116 2286314 2297645 2415728 2625880 3019660 3479291 3676232 4572628 4595290 5251760 5715785 6039320 6958582 7352464 8002099 9145256 9190580 11431570 12078640 13917164 16004198 17396455 18290512 18381160 22863140 24355037 27834328 32008396 34792910 36762320 40010495 45726280 48710074 55668656 64016792 69585820 80020990 91452560 97420148 121775185 128033584 139171640 160041980 194840296 243550370 278343280 320083960 389680592 487100740 640167920 974201480 1415940143 1948402960 2831880286 5663760572 7079700715 9911581001 11327521144 14159401430 19823162002 22655042288 28318802860 39646324004 49557905005 56637605720 75044827579 79292648008 99115810010 113275211440 150089655158 158585296016 198231620020 300179310316 375224137895 396463240040 525313793053 600358620632 750448275790 792926480080 1050627586106 1200717241264 1500896551580 2101255172212 2626568965265 3001793103160 4202510344424 5253137930530 6003586206320 8405020688848 10506275861060 21012551722120 42025103444240