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2144141241440 = 255114129713709
BaseRepresentation
bin11111001100111000110…
…001101110110001100000
321120222101220000120222212
4133030320301232301200
5240112200124211230
64321001020021252
7310623550561412
oct37147061566140
97528356016885
102144141241440
11757363918a10
122a7670691828
1312726509b193
1475ac40ba9b2
153ab92573895
hex1f338c6ec60

2144141241440 has 96 divisors (see below), whose sum is σ = 5660818319520. Its totient is φ = 760670924800.

The previous prime is 2144141241421. The next prime is 2144141241461. The reversal of 2144141241440 is 441421414412.

It is a super-3 number, since 3×21441412414403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2144141241397 and 2144141241406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14784695 + ... + 14929014.

It is an arithmetic number, because the mean of its divisors is an integer number (58966857495).

Almost surely, 22144141241440 is an apocalyptic number.

2144141241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144141241440 is an abundant number, since it is smaller than the sum of its proper divisors (3516677078080).

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

2144141241440 is a wasteful number, since it uses less digits than its factorization.

2144141241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29713776 (or 29713768 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 2144141241440 its reverse (441421414412), we get a palindrome (2585562655852).

The spelling of 2144141241440 in words is "two trillion, one hundred forty-four billion, one hundred forty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 328 352 410 440 451 656 820 880 902 1312 1640 1760 1804 2255 3280 3608 4510 6560 7216 9020 14432 18040 36080 72160 29713709 59427418 118854836 148568545 237709672 297137090 326850799 475419344 594274180 653701598 950838688 1188548360 1218262069 1307403196 1634253995 2377096720 2436524138 2614806392 3268507990 4754193440 4873048276 5229612784 6091310345 6537015980 9746096552 10459225568 12182620690 13074031960 13400882759 19492193104 24365241380 26148063920 26801765518 38984386208 48730482760 52296127840 53603531036 67004413795 97460965520 107207062072 134008827590 194921931040 214414124144 268017655180 428828248288 536035310360 1072070620720 2144141241440