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1134024201232 = 241337180181817
BaseRepresentation
bin10000100000001001000…
…111000001010000010000
311000102010002121021101221
4100200021013001100100
5122034440143414412
62224544042134424
7144634114444336
oct20401107012020
94012102537357
101134024201232
113a7a34108a6a
121639464b1414
1382c26ab6520
143cc5c165b56
151e772a30b07
hex108091c1410

1134024201232 has 80 divisors (see below), whose sum is σ = 2431515105712. Its totient is φ = 508960972800.

The previous prime is 1134024201223. The next prime is 1134024201293. The reversal of 1134024201232 is 2321024204311.

It can be written as a sum of positive squares in 8 ways, for example, as 243862142976 + 890162058256 = 493824^2 + 943484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134024201197 and 1134024201206.

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, 13819588 + ... + 13901404.

Almost surely, 21134024201232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134024201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215757552856).

1134024201232 is an abundant number, since it is smaller than the sum of its proper divisors (1297490904480).

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

1134024201232 is a wasteful number, since it uses less digits than its factorization.

1134024201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83676 (or 83670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1134024201232 its reverse (2321024204311), we get a palindrome (3455048405543).

The spelling of 1134024201232 in words is "one trillion, one hundred thirty-four billion, twenty-four million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1801 1924 3602 3848 7204 7696 14408 23413 28816 46826 66637 81817 93652 133274 163634 187304 266548 327268 374608 533096 654536 866281 1063621 1066192 1309072 1732562 2127242 3027229 3465124 4254484 6054458 6930248 8508968 12108916 13860496 17017936 24217832 39353977 48435664 78707954 147352417 157415908 294704834 314831816 589409668 629663632 1178819336 1915581421 2357638672 3831162842 5452039429 7662325684 10904078858 15324651368 21808157716 30649302736 43616315432 70876512577 87232630864 141753025154 283506050308 567012100616 1134024201232