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11443811328 = 21033413911
BaseRepresentation
bin10101010100001101…
…01011010000000000
31002112112112211221000
422222012223100000
5141414103430303
65131320332000
7553405535265
oct125206532000
932475484830
1011443811328
114942807914
122274614000
131104b684c1
147a7bdb26c
1546ea08da3
hex2aa1ab400

11443811328 has 88 divisors (see below), whose sum is σ = 33891114560. Its totient is φ = 3814594560.

The previous prime is 11443811317. The next prime is 11443811429. The reversal of 11443811328 is 82311834411.

11443811328 is a `hidden beast` number, since 1 + 1 + 443 + 81 + 132 + 8 = 666.

It is a super-2 number, since 2×114438113282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11443811292 and 11443811301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179308 + ... + 234603.

Almost surely, 211443811328 is an apocalyptic number.

11443811328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11443811328 is an abundant number, since it is smaller than the sum of its proper divisors (22447303232).

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

11443811328 is an equidigital number, since it uses as much as digits as its factorization.

11443811328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413940 (or 413916 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 11443811328 in words is "eleven billion, four hundred forty-three million, eight hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 413911 827822 1241733 1655644 2483466 3311288 3725199 4966932 6622576 7450398 9933864 11175597 13245152 14900796 19867728 22351194 26490304 29801592 39735456 44702388 52980608 59603184 79470912 89404776 105961216 119206368 158941824 178809552 211922432 238412736 317883648 357619104 423844864 476825472 635767296 715238208 953650944 1271534592 1430476416 1907301888 2860952832 3814603776 5721905664 11443811328