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2144301212400 = 243522397476643
BaseRepresentation
bin11111001101000010010…
…011111110001011110000
321120222211001000221220020
4133031002103332023300
5240113012102244100
64321024532443440
7310630532400144
oct37150223761360
97528731027806
102144301212400
11757436150516
122a76b6179580
1312728c27b659
1475adb43d224
153aba16225a0
hex1f3424fe2f0

2144301212400 has 120 divisors (see below), whose sum is σ = 6897652688640. Its totient is φ = 569421054720.

The previous prime is 2144301212371. The next prime is 2144301212441. The reversal of 2144301212400 is 42121034412.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3451522 + ... + 4025121.

It is an arithmetic number, because the mean of its divisors is an integer number (57480439072).

Almost surely, 22144301212400 is an apocalyptic number.

2144301212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144301212400 is an abundant number, since it is smaller than the sum of its proper divisors (4753351476240).

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

2144301212400 is a wasteful number, since it uses less digits than its factorization.

2144301212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476903 (or 7476892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2144301212400 its reverse (42121034412), we get a palindrome (2186422246812).

It can be divided in two parts, 21443012 and 12400, that added together give a palindrome (21455412).

The spelling of 2144301212400 in words is "two trillion, one hundred forty-four billion, three hundred one million, two hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 239 240 300 400 478 600 717 956 1195 1200 1434 1912 2390 2868 3585 3824 4780 5736 5975 7170 9560 11472 11950 14340 17925 19120 23900 28680 35850 47800 57360 71700 95600 143400 286800 7476643 14953286 22429929 29906572 37383215 44859858 59813144 74766430 89719716 112149645 119626288 149532860 179439432 186916075 224299290 299065720 358878864 373832150 448598580 560748225 598131440 747664300 897197160 1121496450 1495328600 1786917677 1794394320 2242992900 2990657200 3573835354 4485985800 5360753031 7147670708 8934588385 8971971600 10721506062 14295341416 17869176770 21443012124 26803765155 28590682832 35738353540 42886024248 44672941925 53607530310 71476707080 85772048496 89345883850 107215060620 134018825775 142953414160 178691767700 214430121240 268037651550 357383535400 428860242480 536075303100 714767070800 1072150606200 2144301212400