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1141688440 = 23589320699
BaseRepresentation
bin100010000001100…
…1100100001111000
32221120021210010001
41010003030201320
54314233012230
6305142202344
740202122504
oct10403144170
92846253101
101141688440
115364a9472
1227a4233b4
131526b8bb9
14ab8b1304
156a36d0ca
hex440cc878

1141688440 has 32 divisors (see below), whose sum is σ = 2597670000. Its totient is φ = 451542784.

The previous prime is 1141688437. The next prime is 1141688441. The reversal of 1141688440 is 448861411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141688440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141688441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156790 + ... + 163909.

Almost surely, 21141688440 is an apocalyptic number.

1141688440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141688440 is an abundant number, since it is smaller than the sum of its proper divisors (1455981560).

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

1141688440 is a wasteful number, since it uses less digits than its factorization.

1141688440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320799 (or 320795 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 1141688440 is about 33788.8804194516. The cubic root of 1141688440 is about 1045.1594088450.

It can be divided in two parts, 11416 and 88440, that added together give a square (99856 = 3162).

The spelling of 1141688440 in words is "one billion, one hundred forty-one million, six hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 320699 641398 1282796 1603495 2565592 3206990 6413980 12827960 28542211 57084422 114168844 142711055 228337688 285422110 570844220 1141688440