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1144140211440 = 2432513003122209
BaseRepresentation
bin10000101001100100000…
…100100010010011110000
311001101020002122211121200
4100221210010202103300
5122221144343231230
62233335531251200
7145442601222432
oct20514404422360
94041202584550
101144140211440
1140125535a186
121658aa2a9b00
1383b79831895
143d53b886652
151eb65ba7160
hex10a641224f0

1144140211440 has 120 divisors (see below), whose sum is σ = 3842731155120. Its totient is φ = 305078095872.

The previous prime is 1144140211433. The next prime is 1144140211441. The reversal of 1144140211440 is 441120414411.

1144140211440 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 4 + 0 + 211 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144140211441) 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, 9301056 + ... + 9423264.

It is an arithmetic number, because the mean of its divisors is an integer number (32022759626).

Almost surely, 21144140211440 is an apocalyptic number.

1144140211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144140211440 is an abundant number, since it is smaller than the sum of its proper divisors (2698590943680).

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

1144140211440 is a wasteful number, since it uses less digits than its factorization.

1144140211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135231 (or 135222 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1144140211440 its reverse (441120414411), we get a palindrome (1585260625851).

The spelling of 1144140211440 in words is "one trillion, one hundred forty-four billion, one hundred forty million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 13003 26006 39009 52012 65015 78018 104024 117027 122209 130030 156036 195045 208048 234054 244418 260060 312072 366627 390090 468108 488836 520120 585135 611045 624144 733254 780180 936216 977672 1040240 1099881 1170270 1222090 1466508 1560360 1833135 1872432 1955344 2199762 2340540 2444180 2933016 3120720 3666270 4399524 4681080 4888360 5499405 5866032 7332540 8799048 9362160 9776720 10998810 14665080 17598096 21997620 29330160 43995240 87990480 1589083627 3178167254 4767250881 6356334508 7945418135 9534501762 12712669016 14301752643 15890836270 19069003524 23836254405 25425338032 28603505286 31781672540 38138007048 47672508810 57207010572 63563345080 71508763215 76276014096 95345017620 114414021144 127126690160 143017526430 190690035240 228828042288 286035052860 381380070480 572070105720 1144140211440