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1140844432 = 247131746091
BaseRepresentation
bin100001111111111…
…1110011110010000
32221111200220100111
41003333332132100
54314024010212
6305112131104
740162006030
oct10377763620
92844626314
101140844432
11535a82342
1227a096a94
131524819a0
14ab7318c0
156a252ea7
hex43ffe790

1140844432 has 80 divisors (see below), whose sum is σ = 2880565632. Its totient is φ = 424765440.

The previous prime is 1140844409. The next prime is 1140844457. The reversal of 1140844432 is 2344480411.

It is a junction number, because it is equal to n+sod(n) for n = 1140844394 and 1140844403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 47797.

Almost surely, 21140844432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140844432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440282816).

1140844432 is an abundant number, since it is smaller than the sum of its proper divisors (1739721200).

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

1140844432 is a wasteful number, since it uses less digits than its factorization.

1140844432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46136 (or 46130 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 1140844432 is about 33776.3886761152. The cubic root of 1140844432 is about 1044.9017961332.

The spelling of 1140844432 in words is "one billion, one hundred forty million, eight hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3536 6188 12376 24752 46091 92182 184364 322637 368728 599183 645274 737456 783547 1198366 1290548 1567094 2396732 2581096 3134188 4194281 4793464 5162192 5484829 6268376 8388562 9586928 10186111 10969658 12536752 16777124 20372222 21939316 33554248 40744444 43878632 67108496 71302777 81488888 87757264 142605554 162977776 285211108 570422216 1140844432