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2023071042480 = 2435181128336299
BaseRepresentation
bin11101011100001000011…
…011100100101110110000
321011101220022002020111220
4131130020123210232300
5231121222141324410
64145215213305040
7266106405062415
oct35341033445660
97141808066456
102023071042480
1170aa85953544
12288102495180
13118a0c2686b7
146dcba99210c
1537958672070
hex1d7086e4bb0

2023071042480 has 160 divisors (see below), whose sum is σ = 6311258553600. Its totient is φ = 536072094720.

The previous prime is 2023071042469. The next prime is 2023071042481. The reversal of 2023071042480 is 842401703202.

It is a happy number.

It is a super-3 number, since 3×20230710424803 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2023071042481) 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, 55715371 + ... + 55751669.

It is an arithmetic number, because the mean of its divisors is an integer number (39445365960).

Almost surely, 22023071042480 is an apocalyptic number.

2023071042480 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 2023071042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155629276800).

2023071042480 is an abundant number, since it is smaller than the sum of its proper divisors (4288187511120).

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

2023071042480 is a wasteful number, since it uses less digits than its factorization.

2023071042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37779 (or 37773 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 2023071042480 its reverse (842401703202), we get a palindrome (2865472745682).

The spelling of 2023071042480 in words is "two trillion, twenty-three billion, seventy-one million, forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1283 1448 1810 2172 2566 2715 2896 3620 3849 4344 5132 5430 6415 7240 7698 8688 10264 10860 12830 14480 15396 19245 20528 21720 25660 30792 36299 38490 43440 51320 61584 72598 76980 102640 108897 145196 153960 181495 217794 232223 290392 307920 362990 435588 464446 544485 580784 696669 725980 871176 928892 1088970 1161115 1393338 1451960 1742352 1857784 2177940 2322230 2786676 2903920 3483345 3715568 4355880 4644460 5573352 6570119 6966690 8711760 9288920 11146704 13140238 13933380 18577840 19710357 26280476 27866760 32850595 39420714 46571617 52560952 55733520 65701190 78841428 93143234 98551785 105121904 131402380 139714851 157682856 186286468 197103570 232858085 262804760 279429702 315365712 372572936 394207140 465716170 525609520 558859404 698574255 745145872 788414280 931432340 1117718808 1397148510 1576828560 1862864680 2235437616 2794297020 3725729360 5588594040 8429462677 11177188080 16858925354 25288388031 33717850708 42147313385 50576776062 67435701416 84294626770 101153552124 126441940155 134871402832 168589253540 202307104248 252883880310 337178507080 404614208496 505767760620 674357014160 1011535521240 2023071042480