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11412344232 = 2333376721313
BaseRepresentation
bin10101010000011101…
…01000110110101000
31002110100100011012000
422220032220312220
5141333030003412
65124234051000
7552544216422
oct125016506650
932410304160
1011412344232
114926a75153
122265b79a60
1310cb49b813
147a3969812
1546bd904dc
hex2a83a8da8

11412344232 has 128 divisors (see below), whose sum is σ = 33045225600. Its totient is φ = 3645886464.

The previous prime is 11412344221. The next prime is 11412344347. The reversal of 11412344232 is 23244321411.

11412344232 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 234 + 423 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 11412344196 and 11412344205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524808 + ... + 546120.

It is an arithmetic number, because the mean of its divisors is an integer number (258165825).

Almost surely, 211412344232 is an apocalyptic number.

11412344232 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 11412344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522612800).

11412344232 is an abundant number, since it is smaller than the sum of its proper divisors (21632881368).

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

11412344232 is a wasteful number, since it uses less digits than its factorization.

11412344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21432 (or 21422 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11412344232 its reverse (23244321411), we get a palindrome (34656665643).

The spelling of 11412344232 in words is "eleven billion, four hundred twelve million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 67 72 74 108 111 134 148 201 216 222 268 296 333 402 444 536 603 666 804 888 999 1206 1332 1608 1809 1998 2412 2479 2664 3618 3996 4824 4958 7236 7437 7992 9916 14472 14874 19832 21313 22311 29748 42626 44622 59496 63939 66933 85252 89244 127878 133866 170504 178488 191817 255756 267732 383634 511512 535464 575451 767268 788581 1150902 1427971 1534536 1577162 2301804 2365743 2855942 3154324 4283913 4603608 4731486 5711884 6308648 7097229 8567826 9462972 11423768 12851739 14194458 17135652 18925944 21291687 25703478 28388916 34271304 38555217 42583374 51406956 52834927 56777832 77110434 85166748 102813912 105669854 154220868 158504781 170333496 211339708 308441736 317009562 422679416 475514343 634019124 951028686 1268038248 1426543029 1902057372 2853086058 3804114744 5706172116 11412344232