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1134241400112 = 243374191524223
BaseRepresentation
bin10000100000010110000…
…011100100010100110000
311000102200020022010020220
4100200112003210110300
5122040411244300422
62225021401333040
7144642362553252
oct20402603442460
94012606263226
101134241400112
113a8035778777
121639a7197180
1382c5cab2c82
143cc7cd43cd2
151e786b35e5c
hex108160e4530

1134241400112 has 80 divisors (see below), whose sum is σ = 3016500264960. Its totient is φ = 366983882496.

The previous prime is 1134241400099. The next prime is 1134241400141. The reversal of 1134241400112 is 2110041424311.

It is a happy number.

It is a super-3 number, since 3×11342414001123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17968 + ... + 1506255.

It is an arithmetic number, because the mean of its divisors is an integer number (37706253312).

Almost surely, 21134241400112 is an apocalyptic number.

1134241400112 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 1134241400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508250132480).

1134241400112 is an abundant number, since it is smaller than the sum of its proper divisors (1882258864848).

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

1134241400112 is a wasteful number, since it uses less digits than its factorization.

1134241400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524690 (or 1524684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1134241400112 its reverse (2110041424311), we get a palindrome (3244282824423).

The spelling of 1134241400112 in words is "one trillion, one hundred thirty-four billion, two hundred forty-one million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 419 444 592 838 888 1257 1676 1776 2514 3352 5028 6704 10056 15503 20112 31006 46509 62012 93018 124024 186036 248048 372072 744144 1524223 3048446 4572669 6096892 9145338 12193784 18290676 24387568 36581352 56396251 73162704 112792502 169188753 225585004 338377506 451170008 638649437 676755012 902340016 1277298874 1353510024 1915948311 2554597748 2707020048 3831896622 5109195496 7663793244 10218390992 15327586488 23630029169 30655172976 47260058338 70890087507 94520116676 141780175014 189040233352 283560350028 378080466704 567120700056 1134241400112