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1144141113120 = 25352383627319
BaseRepresentation
bin10000101001100100000…
…111111110011100100000
311001101020011100122111020
4100221210013332130200
5122221200111104440
62233340002445440
7145442611666305
oct20514407763440
94041204318436
101144141113120
11401255915675
121658aa663880
1383b79a89115
143d53ba3d0ac
151eb65cd43d0
hex10a641fe720

1144141113120 has 48 divisors (see below), whose sum is σ = 3604044507840. Its totient is φ = 305104296704.

The previous prime is 1144141113107. The next prime is 1144141113121. The reversal of 1144141113120 is 213111414411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11441411131202 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1144141113121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191813180 + ... + 1191814139.

It is an arithmetic number, because the mean of its divisors is an integer number (75084260580).

Almost surely, 21144141113120 is an apocalyptic number.

1144141113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144141113120 is an abundant number, since it is smaller than the sum of its proper divisors (2459903394720).

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

1144141113120 is a wasteful number, since it uses less digits than its factorization.

1144141113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383627337 (or 2383627329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1144141113120 its reverse (213111414411), we get a palindrome (1357252527531).

The spelling of 1144141113120 in words is "one trillion, one hundred forty-four billion, one hundred forty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2383627319 4767254638 7150881957 9534509276 11918136595 14301763914 19069018552 23836273190 28603527828 35754409785 38138037104 47672546380 57207055656 71508819570 76276074208 95345092760 114414111312 143017639140 190690185520 228828222624 286035278280 381380371040 572070556560 1144141113120