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2420431140300 = 22352471511136833
BaseRepresentation
bin100011001110001100111…
…100000011010111001100
322120101120000012200111220
4203032030330003113030
5304124020332442200
65051533011243340
7336604353142545
oct43161474032714
98511500180456
102420431140300
118535543072a8
123311195a9550
131473269a2934
14852142c74cc
1542e634074a0
hex2338cf035cc

2420431140300 has 144 divisors (see below), whose sum is σ = 7199487869952. Its totient is φ = 627531264000.

The previous prime is 2420431140287. The next prime is 2420431140313. The reversal of 2420431140300 is 30411340242.

It is an interprime number because it is at equal distance from previous prime (2420431140287) and next prime (2420431140313).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560684 + ... + 2697516.

Almost surely, 22420431140300 is an apocalyptic number.

2420431140300 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 2420431140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599743934976).

2420431140300 is an abundant number, since it is smaller than the sum of its proper divisors (4779056729652).

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

2420431140300 is a wasteful number, since it uses less digits than its factorization.

2420431140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137048 (or 1137041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2420431140300 its reverse (30411340242), we get a palindrome (2450842480542).

The spelling of 2420431140300 in words is "two trillion, four hundred twenty billion, four hundred thirty-one million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 151 188 235 282 300 302 453 470 564 604 705 755 906 940 1175 1410 1510 1812 2265 2350 2820 3020 3525 3775 4530 4700 7050 7097 7550 9060 11325 14100 14194 15100 21291 22650 28388 35485 42582 45300 70970 85164 106455 141940 177425 212910 354850 425820 532275 709700 1064550 1136833 2129100 2273666 3410499 4547332 5684165 6820998 11368330 13641996 17052495 22736660 28420825 34104990 53431151 56841650 68209980 85262475 106862302 113683300 160293453 170524950 171661783 213724604 267155755 320586906 341049900 343323566 514985349 534311510 641173812 686647132 801467265 858308915 1029970698 1068623020 1335778775 1602934530 1716617830 2059941396 2574926745 2671557550 3205869060 3433235660 4007336325 4291544575 5149853490 5343115100 8014672650 8068103801 8583089150 10299706980 12874633725 16029345300 16136207602 17166178300 24204311403 25749267450 32272415204 40340519005 48408622806 51498534900 80681038010 96817245612 121021557015 161362076020 201702595025 242043114030 403405190050 484086228060 605107785075 806810380100 1210215570150 2420431140300