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4244044201400 = 235273499582541
BaseRepresentation
bin111101110000100100101…
…111110011110110111000
3120000201121201220122022002
4331300210233303312320
51024013300303421100
613005404220120132
7615423241331423
oct75604457636670
916021551818262
104244044201400
111396986345213
12586635996048
1324a299cc6833
141095acb6a9ba
15755e5ebd2d5
hex3dc24bf3db8

4244044201400 has 96 divisors (see below), whose sum is σ = 10022635110000. Its totient is φ = 1671004339200.

The previous prime is 4244044201387. The next prime is 4244044201403. The reversal of 4244044201400 is 41024404424.

It is a super-2 number, since 2×42440442014002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244044201403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6994130 + ... + 7576670.

Almost surely, 24244044201400 is an apocalyptic number.

4244044201400 is a gapful number since it is divisible by the number (40) 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 4244044201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011317555000).

4244044201400 is an abundant number, since it is smaller than the sum of its proper divisors (5778590908600).

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

4244044201400 is a wasteful number, since it uses less digits than its factorization.

4244044201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583129 (or 583120 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4244044201400 its reverse (41024404424), we get a palindrome (4285068605824).

It can be divided in two parts, 4244044 and 201400, that added together give a palindrome (4445444).

The spelling of 4244044201400 in words is "four trillion, two hundred forty-four billion, forty-four million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 499 584 730 998 1460 1825 1996 2495 2920 3650 3992 4990 7300 9980 12475 14600 19960 24950 36427 49900 72854 99800 145708 182135 291416 364270 582541 728540 910675 1165082 1457080 1821350 2330164 2912705 3642700 4660328 5825410 7285400 11650820 14563525 23301640 29127050 42525493 58254100 85050986 116508200 170101972 212627465 290687959 340203944 425254930 581375918 850509860 1063137325 1162751836 1453439795 1701019720 2126274650 2325503672 2906879590 4252549300 5813759180 7267198975 8505098600 11627518360 14534397950 21220221007 29068795900 42440442014 58137591800 84880884028 106101105035 169761768056 212202210070 424404420140 530505525175 848808840280 1061011050350 2122022100700 4244044201400