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1141400344 = 237113317569
BaseRepresentation
bin100010000001000…
…0110001100011000
32221112202010220211
41010002012030120
54314144302334
6305132100504
740166512540
oct10402061430
92845663824
101141400344
11536321a77
1227a304734
13152617a26
14ab838320
156a312a64
hex44086318

1141400344 has 64 divisors (see below), whose sum is σ = 2479636800. Its totient is φ = 482463744.

The previous prime is 1141400339. The next prime is 1141400387. The reversal of 1141400344 is 4430041411.

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, 2005692 + ... + 2006260.

It is an arithmetic number, because the mean of its divisors is an integer number (38744325).

Almost surely, 21141400344 is an apocalyptic number.

1141400344 is a gapful number since it is divisible by the number (14) 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 1141400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239818400).

1141400344 is an abundant number, since it is smaller than the sum of its proper divisors (1338236456).

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

1141400344 is a wasteful number, since it uses less digits than its factorization.

1141400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1141400344 is about 33784.6169728177. The cubic root of 1141400344 is about 1045.0714888938.

Adding to 1141400344 its reverse (4430041411), we get a palindrome (5571441755).

The spelling of 1141400344 in words is "one billion, one hundred forty-one million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 317 452 569 634 791 904 1138 1268 1582 2219 2276 2536 3164 3983 4438 4552 6328 7966 8876 15932 17752 31864 35821 64297 71642 128594 143284 180373 250747 257188 286568 360746 450079 501494 514376 721492 900158 1002988 1262611 1442984 1800316 2005976 2525222 3600632 5050444 10100888 20382149 40764298 81528596 142675043 163057192 285350086 570700172 1141400344