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11334142032 = 2432311818693
BaseRepresentation
bin10101000111001000…
…10100100001010000
31002020220012001221020
422203210110201100
5141203020021112
65112401555440
7550604421603
oct124344244120
932226161836
1011334142032
114896911734
122243945b80
1310b821a825
1479741033a
1546509448c
hex2a3914850

11334142032 has 80 divisors (see below), whose sum is σ = 30582292608. Its totient is φ = 3610309120.

The previous prime is 11334142021. The next prime is 11334142069. The reversal of 11334142032 is 23024143311.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11334141993 and 11334142011.

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, 1299478 + ... + 1308170.

Almost surely, 211334142032 is an apocalyptic number.

11334142032 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 11334142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291146304).

11334142032 is an abundant number, since it is smaller than the sum of its proper divisors (19248150576).

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

11334142032 is a wasteful number, since it uses less digits than its factorization.

11334142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11334142032 its reverse (23024143311), we get a palindrome (34358285343).

The spelling of 11334142032 in words is "eleven billion, three hundred thirty-four million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1181 2362 3543 4724 7086 8693 9448 14172 17386 18896 26079 27163 28344 34772 52158 54326 56688 69544 81489 104316 108652 139088 162978 199939 208632 217304 325956 399878 417264 434608 599817 651912 799756 1199634 1303824 1599512 2399268 3199024 4798536 9597072 10266433 20532866 30799299 41065732 61598598 82131464 123197196 164262928 236127959 246394392 472255918 492788784 708383877 944511836 1416767754 1889023672 2833535508 3778047344 5667071016 11334142032