Search a number
-
+
2324401434120 = 2335173136182267
BaseRepresentation
bin100001110100110001000…
…111110010111000001000
322020012200112101011111110
4201310301013302320020
5301040333231342440
64535452033330320
7326634556124643
oct41646107627010
98205615334443
102324401434120
11816856015767
123165994069a0
1313b2618b359c
1480704686a5a
15406e2a26080
hex21d311f2e08

2324401434120 has 128 divisors (see below), whose sum is σ = 7018750362240. Its totient is φ = 615797207040.

The previous prime is 2324401434109. The next prime is 2324401434133. The reversal of 2324401434120 is 214341044232.

It is a super-2 number, since 2×23244014341202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28213227 + ... + 28295493.

It is an arithmetic number, because the mean of its divisors is an integer number (54833987205).

Almost surely, 22324401434120 is an apocalyptic number.

2324401434120 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 2324401434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509375181120).

2324401434120 is an abundant number, since it is smaller than the sum of its proper divisors (4694348928120).

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

2324401434120 is a wasteful number, since it uses less digits than its factorization.

2324401434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83815 (or 83811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2324401434120 its reverse (214341044232), we get a palindrome (2538742478352).

The spelling of 2324401434120 in words is "two trillion, three hundred twenty-four billion, four hundred one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1361 1384 1730 2076 2595 2722 3460 4083 4152 5190 5444 6805 6920 8166 10380 10888 13610 16332 20415 20760 27220 32664 40830 54440 81660 82267 163320 164534 235453 246801 329068 411335 470906 493602 658136 706359 822670 941812 987204 1177265 1234005 1412718 1645340 1883624 1974408 2354530 2468010 2825436 3290680 3531795 4709060 4936020 5650872 7063590 9418120 9872040 14127180 14232191 28254360 28464382 42696573 56928764 71160955 85393146 111965387 113857528 142321910 170786292 213482865 223930774 284643820 335896161 341572584 426965730 447861548 559826935 569287640 671792322 853931460 895723096 1119653870 1343584644 1679480805 1707862920 2239307740 2687169288 3358961610 4478615480 6717923220 13435846440 19370011951 38740023902 58110035853 77480047804 96850059755 116220071706 154960095608 193700119510 232440143412 290550179265 387400239020 464880286824 581100358530 774800478040 1162200717060 2324401434120