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2423042440 = 2357131394789
BaseRepresentation
bin1001000001101100…
…1011000110001000
320020212101022100121
42100123023012020
514430244324230
61040234113024
7114021343450
oct22033130610
96225338317
102423042440
111033820715
1257757b774
132c7cc5b30
1418db3ad60
15e2ac877a
hex906cb188

2423042440 has 128 divisors (see below), whose sum is σ = 6759648000. Its totient is φ = 761177088.

The previous prime is 2423042411. The next prime is 2423042459. The reversal of 2423042440 is 442403242.

It is a super-2 number, since 2×24230424402 = 11742269332082307200, which contains 22 as substring.

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, 503566 + ... + 508354.

It is an arithmetic number, because the mean of its divisors is an integer number (52809750).

Almost surely, 22423042440 is an apocalyptic number.

2423042440 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 2423042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379824000).

2423042440 is an abundant number, since it is smaller than the sum of its proper divisors (4336605560).

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

2423042440 is a wasteful number, since it uses less digits than its factorization.

2423042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2423042440 is about 49224.4089857867. The cubic root of 2423042440 is about 1343.1370845591.

Adding to 2423042440 its reverse (442403242), we get a palindrome (2865445682).

The spelling of 2423042440 in words is "two billion, four hundred twenty-three million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 139 140 182 260 278 280 364 455 520 556 695 728 910 973 1112 1390 1807 1820 1946 2780 3614 3640 3892 4789 4865 5560 7228 7784 9035 9578 9730 12649 14456 18070 19156 19460 23945 25298 33523 36140 38312 38920 47890 50596 62257 63245 67046 72280 95780 101192 124514 126490 134092 167615 191560 249028 252980 268184 311285 335230 435799 498056 505960 622570 665671 670460 871598 1245140 1331342 1340920 1743196 2178995 2490280 2662684 3328355 3486392 4357990 4659697 5325368 6656710 8653723 8715980 9319394 13313420 17307446 17431960 18638788 23298485 26626840 34614892 37277576 43268615 46596970 60576061 69229784 86537230 93193940 121152122 173074460 186387880 242304244 302880305 346148920 484608488 605760610 1211521220 2423042440