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1141023432 = 233538910079
BaseRepresentation
bin100010000000010…
…1010001011001000
32221112000222220010
41010000222023020
54314100222212
6305120031520
740163352633
oct10400521310
92845028803
101141023432
1153609487a
1227a1625a0
131525152c3
14ab77ac1a
156a28b03c
hex4402a2c8

1141023432 has 64 divisors (see below), whose sum is σ = 2939328000. Its totient is φ = 368935424.

The previous prime is 1141023421. The next prime is 1141023437. The reversal of 1141023432 is 2343201411.

It is a junction number, because it is equal to n+sod(n) for n = 1141023399 and 1141023408.

It is not an unprimeable number, because it can be changed into a prime (1141023437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108169 + ... + 118247.

It is an arithmetic number, because the mean of its divisors is an integer number (45927000).

Almost surely, 21141023432 is an apocalyptic number.

1141023432 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 1141023432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

1141023432 is an abundant number, since it is smaller than the sum of its proper divisors (1798304568).

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

1141023432 is a wasteful number, since it uses less digits than its factorization.

1141023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1141023432 is about 33779.0383522089. The cubic root of 1141023432 is about 1044.9564420998.

Adding to 1141023432 its reverse (2343201411), we get a palindrome (3484224843).

The spelling of 1141023432 in words is "one billion, one hundred forty-one million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 89 106 159 178 212 267 318 356 424 534 636 712 1068 1272 2136 4717 9434 10079 14151 18868 20158 28302 30237 37736 40316 56604 60474 80632 113208 120948 241896 534187 897031 1068374 1602561 1794062 2136748 2691093 3205122 3588124 4273496 5382186 6410244 7176248 10764372 12820488 21528744 47542643 95085286 142627929 190170572 285255858 380341144 570511716 1141023432