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2111442432 = 29311177351
BaseRepresentation
bin111110111011010…
…0000111000000000
312110011001101111120
41331312200320000
513311012124212
6545303312240
7103215651561
oct17566407000
95404041446
102111442432
11993943a50
124ab14b680
13278596128
141605c8168
15c557788c
hex7dda0e00

2111442432 has 160 divisors (see below), whose sum is σ = 6498226944. Its totient is φ = 602112000.

The previous prime is 2111442419. The next prime is 2111442451. The reversal of 2111442432 is 2342441112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283557 + ... + 290907.

Almost surely, 22111442432 is an apocalyptic number.

2111442432 is a gapful number since it is divisible by the number (22) 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 2111442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249113472).

2111442432 is an abundant number, since it is smaller than the sum of its proper divisors (4386784512).

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

2111442432 is a wasteful number, since it uses less digits than its factorization.

2111442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7384 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2111442432 is about 45950.4345137236. The cubic root of 2111442432 is about 1282.9008168528.

Adding to 2111442432 its reverse (2342441112), we get a palindrome (4453883544).

It can be divided in two parts, 21114 and 42432, that added together give a triangular number (63546 = T356).

The spelling of 2111442432 in words is "two billion, one hundred eleven million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5632 5984 6528 7351 8448 8704 8976 11968 13056 14702 16896 17952 22053 23936 26112 29404 35904 44106 47872 58808 71808 80861 88212 95744 117616 124967 143616 161722 176424 235232 242583 249934 287232 323444 352848 374901 470464 485166 499868 646888 705696 749802 940928 970332 999736 1293776 1374637 1411392 1499604 1881856 1940664 1999472 2587552 2749274 2822784 2999208 3763712 3881328 3998944 4123911 5175104 5498548 5645568 5998416 7762656 7997888 8247822 10350208 10997096 11291136 11996832 15525312 15995776 16495644 20700416 21994192 23993664 31050624 31991552 32991288 41400832 43988384 47987328 62101248 63983104 65982576 87976768 95974656 124202496 131965152 175953536 191949312 263930304 351907072 527860608 703814144 1055721216 2111442432