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4402141020240 = 243531751778713
BaseRepresentation
bin100000000001111010000…
…0011010100000001010000
3120120211200202222011112220
41000003310003110001100
51034111041100121430
613210152103421040
7633021105165465
oct100036403240120
916524622864486
104402141020240
111447a3492a187
125b11b8154780
1325c173b87952
141130c99c966c
157979a820110
hex400f40d4050

4402141020240 has 160 divisors (see below), whose sum is σ = 14088904252416. Its totient is φ = 1135870832640.

The previous prime is 4402141020229. The next prime is 4402141020259. The reversal of 4402141020240 is 420201412044.

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 4402141020240.

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, 55887124 + ... + 55965836.

Almost surely, 24402141020240 is an apocalyptic number.

4402141020240 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 4402141020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044452126208).

4402141020240 is an abundant number, since it is smaller than the sum of its proper divisors (9686763232176).

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

4402141020240 is a wasteful number, since it uses less digits than its factorization.

4402141020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86277 (or 86271 counting only the distinct ones).

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

Adding to 4402141020240 its reverse (420201412044), we get a palindrome (4822342432284).

The spelling of 4402141020240 in words is "four trillion, four hundred two billion, one hundred forty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 7517 15034 22551 30068 37585 45102 60136 75170 78713 90204 112755 120272 150340 157426 180408 225510 233027 236139 300680 314852 360816 393565 451020 466054 472278 601360 629704 699081 787130 902040 932108 944556 1165135 1180695 1259408 1398162 1574260 1804080 1864216 1889112 2330270 2361390 2440103 2796324 3148520 3495405 3728432 3778224 4660540 4722780 4880206 5592648 6297040 6990810 7320309 9321080 9445560 9760412 11185296 12200515 13981620 14640618 18642160 18891120 19520824 24401030 27963240 29281236 36601545 39041648 48802060 55926480 58562472 73203090 97604120 117124944 146406180 195208240 292812360 585624720 591685621 1183371242 1775056863 2366742484 2958428105 3550113726 4733484968 5916856210 7100227452 8875284315 9466969936 11833712420 14200454904 17750568630 18342254251 23667424840 28400909808 35501137260 36684508502 47334849680 55026762753 71002274520 73369017004 91711271255 110053525506 142004549040 146738034008 183422542510 220107051012 275133813765 293476068016 366845085020 440214102024 550267627530 733690170040 880428204048 1100535255060 1467380340080 2201070510120 4402141020240