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1141740288 = 28321338119
BaseRepresentation
bin100010000001101…
…1001001100000000
32221120101102020100
41010003121030000
54314241142123
6305143242400
740202426613
oct10403311400
92846342210
101141740288
11536534417
1227a449400
13152706690
14ab8c617a
156a37d643
hex440d9300

1141740288 has 108 divisors (see below), whose sum is σ = 3545236240. Its totient is φ = 351295488.

The previous prime is 1141740239. The next prime is 1141740289. The reversal of 1141740288 is 8820471411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1141740289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10893 + ... + 49011.

Almost surely, 21141740288 is an apocalyptic number.

1141740288 is a gapful number since it is divisible by the number (18) 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 1141740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772618120).

1141740288 is an abundant number, since it is smaller than the sum of its proper divisors (2403495952).

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

1141740288 is a wasteful number, since it uses less digits than its factorization.

1141740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38154 (or 38137 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1141740288 is about 33789.6476453958. The cubic root of 1141740288 is about 1045.1752300337.

The spelling of 1141740288 in words is "one billion, one hundred forty-one million, seven hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 38119 76238 114357 152476 228714 304952 343071 457428 495547 609904 686142 914856 991094 1219808 1372284 1486641 1829712 1982188 2439616 2744568 2973282 3659424 3964376 4459923 4879232 5489136 5946564 7318848 7928752 8919846 9758464 10978272 11893128 14637696 15857504 17839692 21956544 23786256 29275392 31715008 35679384 43913088 47572512 63430016 71358768 87826176 95145024 126860032 142717536 190290048 285435072 380580096 570870144 1141740288