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1141063880 = 235112431547
BaseRepresentation
bin100010000000011…
…0100000011001000
32221112010001101012
41010000310003020
54314103021010
6305120543052
740163611565
oct10400640310
92845101335
101141063880
11536112200
1227a181a88
1315252a838
14ab78b86c
156a298005
hex440340c8

1141063880 has 96 divisors (see below), whose sum is σ = 2833729920. Its totient is φ = 413212800.

The previous prime is 1141063877. The next prime is 1141063883. The reversal of 1141063880 is 883601411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1141063877) and next prime (1141063883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141063883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2085767 + ... + 2086313.

It is an arithmetic number, because the mean of its divisors is an integer number (29518020).

Almost surely, 21141063880 is an apocalyptic number.

1141063880 is a gapful number since it is divisible by the number (10) 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 1141063880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416864960).

1141063880 is an abundant number, since it is smaller than the sum of its proper divisors (1692666040).

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

1141063880 is a wasteful number, since it uses less digits than its factorization.

1141063880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1141063880 is about 33779.6370614014. The cubic root of 1141063880 is about 1044.9687894649.

The spelling of 1141063880 in words is "one billion, one hundred forty-one million, sixty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 431 440 484 547 605 862 968 1094 1210 1724 2155 2188 2420 2735 3448 4310 4376 4741 4840 5470 6017 8620 9482 10940 12034 17240 18964 21880 23705 24068 30085 37928 47410 48136 52151 60170 66187 94820 104302 120340 132374 189640 208604 235757 240680 260755 264748 330935 417208 471514 521510 529496 661870 943028 1043020 1178785 1323740 1886056 2086040 2357570 2593327 2647480 4715140 5186654 9430280 10373308 12966635 20746616 25933270 28526597 51866540 57053194 103733080 114106388 142632985 228212776 285265970 570531940 1141063880