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1141353432 = 2332611511721
BaseRepresentation
bin100010000000111…
…1010101111011000
32221112122202120100
41010001322233120
54314141302212
6305131055400
740166226012
oct10401725730
92845582510
101141353432
1153629a7aa
1227a2a1560
131525cc57b
14ab8251b2
156a303bdc
hex4407abd8

1141353432 has 96 divisors (see below), whose sum is σ = 3164484960. Its totient is φ = 371520000.

The previous prime is 1141353391. The next prime is 1141353511. The reversal of 1141353432 is 2343531411.

It is a happy number.

1141353432 is a `hidden beast` number, since 114 + 13 + 534 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1141353396 and 1141353405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662332 + ... + 664052.

It is an arithmetic number, because the mean of its divisors is an integer number (32963385).

Almost surely, 21141353432 is an apocalyptic number.

1141353432 is a gapful number since it is divisible by the number (12) 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 1141353432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582242480).

1141353432 is an abundant number, since it is smaller than the sum of its proper divisors (2023131528).

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

1141353432 is a wasteful number, since it uses less digits than its factorization.

1141353432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1938 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1141353432 is about 33783.9226852063. The cubic root of 1141353432 is about 1045.0571710822.

Adding to 1141353432 its reverse (2343531411), we get a palindrome (3484884843).

The spelling of 1141353432 in words is "one billion, one hundred forty-one million, three hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 151 183 244 302 366 453 488 549 604 732 906 1098 1208 1359 1464 1721 1812 2196 2718 3442 3624 4392 5163 5436 6884 9211 10326 10872 13768 15489 18422 20652 27633 30978 36844 41304 55266 61956 73688 82899 104981 110532 123912 165798 209962 221064 259871 314943 331596 419924 519742 629886 663192 779613 839848 944829 1039484 1259772 1559226 1889658 2078968 2338839 2519544 3118452 3779316 4677678 6236904 7558632 9355356 15852131 18710712 31704262 47556393 63408524 95112786 126817048 142669179 190225572 285338358 380451144 570676716 1141353432