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2144012220240 = 2435111495450509
BaseRepresentation
bin11111001100110001000…
…101100011011101010000
321120222001220020122011220
4133030301011203131100
5240111414112021430
64320540130405040
7310620423115332
oct37146105433520
97528056218156
102144012220240
117572a8005420
122a7635430780
13127244436087
1475ab0cd3452
153ab8608a110
hex1f331163750

2144012220240 has 160 divisors (see below), whose sum is σ = 7299322992000. Its totient is φ = 516272117760.

The previous prime is 2144012220199. The next prime is 2144012220253. The reversal of 2144012220240 is 420222104412.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144012220240.

It is a congruent number.

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, 2331895 + ... + 3118614.

It is an arithmetic number, because the mean of its divisors is an integer number (45620768700).

Almost surely, 22144012220240 is an apocalyptic number.

2144012220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144012220240 is an abundant number, since it is smaller than the sum of its proper divisors (5155310771760).

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

2144012220240 is a wasteful number, since it uses less digits than its factorization.

2144012220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450685 (or 5450679 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2144012220240 its reverse (420222104412), we get a palindrome (2564234324652).

The spelling of 2144012220240 in words is "two trillion, one hundred forty-four billion, twelve million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 149 165 176 220 240 264 298 330 440 447 528 596 660 745 880 894 1192 1320 1490 1639 1788 2235 2384 2640 2980 3278 3576 4470 4917 5960 6556 7152 8195 8940 9834 11920 13112 16390 17880 19668 24585 26224 32780 35760 39336 49170 65560 78672 98340 131120 196680 393360 5450509 10901018 16351527 21802036 27252545 32703054 43604072 54505090 59955599 65406108 81757635 87208144 109010180 119911198 130812216 163515270 179866797 218020360 239822396 261624432 299777995 327030540 359733594 436040720 479644792 599555990 654061080 719467188 812125841 899333985 959289584 1199111980 1308122160 1438934376 1624251682 1798667970 2398223960 2436377523 2877868752 3248503364 3597335940 4060629205 4796447920 4872755046 6497006728 7194671880 8121258410 8933384251 9745510092 12181887615 12994013456 14389343760 16242516820 17866768502 19491020184 24363775230 26800152753 32485033640 35733537004 38982040368 44666921255 48727550460 53600305506 64970067280 71467074008 89333842510 97455100920 107200611012 134000763765 142934148016 178667685020 194910201840 214401222024 268001527530 357335370040 428802444048 536003055060 714670740080 1072006110120 2144012220240