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11443412112432 = 2434716273117661
BaseRepresentation
bin1010011010000110000010…
…0000111001010000110000
31111111222110001202212010020
42212201200200321100300
52444442102000044212
640201010404003440
72260521264020646
oct246414040712060
944458401685106
1011443412112432
11371213a898983
121349987690580
136501559bb991
142b7c15147196
1514ca093d5d8c
hexa6860839430

11443412112432 has 80 divisors (see below), whose sum is σ = 30209695836672. Its totient is φ = 3731015957760.

The previous prime is 11443412112421. The next prime is 11443412112463. The reversal of 11443412112432 is 23421121434411.

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 = 11443412112393 and 11443412112402.

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, 2111682 + ... + 5229342.

Almost surely, 211443412112432 is an apocalyptic number.

11443412112432 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 11443412112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104847918336).

11443412112432 is an abundant number, since it is smaller than the sum of its proper divisors (18766283724240).

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

11443412112432 is a wasteful number, since it uses less digits than its factorization.

11443412112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119346 (or 3119340 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 11443412112432 its reverse (23421121434411), we get a palindrome (34864533546843).

The spelling of 11443412112432 in words is "eleven trillion, four hundred forty-three billion, four hundred twelve million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 1627 2256 3254 4881 6508 9762 13016 19524 26032 39048 76469 78096 152938 229407 305876 458814 611752 917628 1223504 1835256 3117661 3670512 6235322 9352983 12470644 18705966 24941288 37411932 49882576 74823864 146530067 149647728 293060134 439590201 586120268 879180402 1172240536 1758360804 2344481072 3516721608 5072434447 7033443216 10144868894 15217303341 20289737788 30434606682 40579475576 60869213364 81158951152 121738426728 238404419009 243476853456 476808838018 715213257027 953617676036 1430426514054 1907235352072 2860853028108 3814470704144 5721706056216 11443412112432