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1141455536 = 241347591979
BaseRepresentation
bin100010000001001…
…0011101010110000
32221112211221121222
41010002103222300
54314203034121
6305133204212
740200132464
oct10402235260
92845757558
101141455536
1153635a491
1227a330668
13152636ba0
14ab8504a4
156a3240ab
hex44093ab0

1141455536 has 80 divisors (see below), whose sum is σ = 2474841600. Its totient is φ = 506621184.

The previous prime is 1141455517. The next prime is 1141455547. The reversal of 1141455536 is 6355541411.

It is a junction number, because it is equal to n+sod(n) for n = 1141455496 and 1141455505.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 575795 + ... + 577773.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 21141455536 is an apocalyptic number.

1141455536 is a gapful number since it is divisible by the number (16) 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 1141455536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

1141455536 is an abundant number, since it is smaller than the sum of its proper divisors (1333386064).

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

1141455536 is a wasteful number, since it uses less digits than its factorization.

1141455536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2100 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 1141455536 is about 33785.4337843989. The cubic root of 1141455536 is about 1045.0883333067.

Adding to 1141455536 its reverse (6355541411), we get a palindrome (7496996947).

The spelling of 1141455536 in words is "one billion, one hundred forty-one million, four hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 47 52 59 94 104 118 188 208 236 376 472 611 752 767 944 1222 1534 1979 2444 2773 3068 3958 4888 5546 6136 7916 9776 11092 12272 15832 22184 25727 31664 36049 44368 51454 72098 93013 102908 116761 144196 186026 205816 233522 288392 372052 411632 467044 576784 744104 934088 1209169 1488208 1517893 1868176 2418338 3035786 4836676 5487767 6071572 9673352 10975534 12143144 19346704 21951068 24286288 43902136 71340971 87804272 142681942 285363884 570727768 1141455536