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4244003021400 = 2335259119887091
BaseRepresentation
bin111101110000100010010…
…010101110001001011000
3120000201111212102110221220
4331300202102232021120
51024013204233141100
613005400145332040
7615422231320212
oct75604222561130
916021455373856
104244003021400
11139696507905a
12586624037020
1324a291608b7c
141095a74cb5b2
15755e2586aa0
hex3dc224ae258

4244003021400 has 96 divisors (see below), whose sum is σ = 13379399467200. Its totient is φ = 1112552195200.

The previous prime is 4244003021389. The next prime is 4244003021411. The reversal of 4244003021400 is 41203004424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4244003021389) and next prime (4244003021411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59908146 + ... + 59978945.

It is an arithmetic number, because the mean of its divisors is an integer number (139368744450).

Almost surely, 24244003021400 is an apocalyptic number.

4244003021400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244003021400 is an abundant number, since it is smaller than the sum of its proper divisors (9135396445800).

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

4244003021400 is a wasteful number, since it uses less digits than its factorization.

4244003021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119887169 (or 119887160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4244003021400 its reverse (41203004424), we get a palindrome (4285206025824).

The spelling of 4244003021400 in words is "four trillion, two hundred forty-four billion, three million, twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 119887091 239774182 359661273 479548364 599435455 719322546 959096728 1198870910 1438645092 1798306365 2397741820 2877290184 2997177275 3596612730 4795483640 5994354550 7073338369 7193225460 8991531825 11988709100 14146676738 14386450920 17983063650 21220015107 23977418200 28293353476 35366691845 35966127300 42440030214 56586706952 70733383690 71932254600 84880060428 106100075535 141466767380 169760120856 176833459225 212200151070 282933534760 353666918450 424400302140 530500377675 707333836900 848800604280 1061000755350 1414667673800 2122001510700 4244003021400