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2024051020240 = 2451767173128399
BaseRepresentation
bin11101011101000010110…
…101111001000111010000
321011111102121002021021111
4131131002311321013100
5231130224030121430
64145500341503104
7266142604542424
oct35350265710720
97144377067244
102024051020240
11710439041317
12288336711a94
13118b372b52b2
146dd70baab84
15379b46eac2a
hex1d742d791d0

2024051020240 has 160 divisors (see below), whose sum is σ = 5086378022400. Its totient is φ = 746277937152.

The previous prime is 2024051020231. The next prime is 2024051020249. The reversal of 2024051020240 is 420201504202.

It is an interprime number because it is at equal distance from previous prime (2024051020231) and next prime (2024051020249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024051020249) 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, 15699561 + ... + 15827959.

It is an arithmetic number, because the mean of its divisors is an integer number (31789862640).

Almost surely, 22024051020240 is an apocalyptic number.

2024051020240 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 2024051020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543189011200).

2024051020240 is an abundant number, since it is smaller than the sum of its proper divisors (3062327002160).

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

2024051020240 is a wasteful number, since it uses less digits than its factorization.

2024051020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128669 (or 128663 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 2024051020240 its reverse (420201504202), we get a palindrome (2444252524442).

The spelling of 2024051020240 in words is "two trillion, twenty-four billion, fifty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 67 68 80 85 134 136 170 173 268 272 335 340 346 536 670 680 692 865 1072 1139 1340 1360 1384 1730 2278 2680 2768 2941 3460 4556 5360 5695 5882 6920 9112 11390 11591 11764 13840 14705 18224 22780 23182 23528 29410 45560 46364 47056 57955 58820 91120 92728 115910 117640 128399 185456 197047 231820 235280 256798 394094 463640 513596 641995 788188 927280 985235 1027192 1283990 1576376 1970470 2054384 2182783 2567980 3152752 3940940 4365566 5135960 7881880 8602733 8731132 10271920 10913915 15763760 17205466 17462264 21827830 22213027 34410932 34924528 43013665 43655660 44426054 68821864 86027330 87311320 88852108 111065135 137643728 146246461 172054660 174622640 177704216 222130270 292492922 344109320 355408432 377621459 444260540 584985844 688218640 731232305 755242918 888521080 1169971688 1462464610 1488272809 1510485836 1777042160 1888107295 2339943376 2924929220 2976545618 3020971672 3776214590 5849858440 5953091236 6041943344 7441364045 7552429180 11699716880 11906182472 14882728090 15104858360 23812364944 25300637753 29765456180 30209716720 50601275506 59530912360 101202551012 119061824720 126503188765 202405102024 253006377530 404810204048 506012755060 1012025510120 2024051020240