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10144101232 = 243167383797
BaseRepresentation
bin10010111001010001…
…01011001101110000
3222011221220201212001
421130220223031300
5131233342214412
64354331143344
7506244303106
oct113450531560
928157821761
1010144101232
114336098441
121b712a4b54
13c58802485
146c3353c76
153e5874957
hex25ca2b370

10144101232 has 80 divisors (see below), whose sum is σ = 20670676992. Its totient is φ = 4816500480.

The previous prime is 10144101203. The next prime is 10144101239. The reversal of 10144101232 is 23210144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144101239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12727458 + ... + 12728254.

Almost surely, 210144101232 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 10144101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335338496).

10144101232 is an abundant number, since it is smaller than the sum of its proper divisors (10526575760).

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

10144101232 is a wasteful number, since it uses less digits than its factorization.

10144101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10144101232 its reverse (23210144101), we get a palindrome (33354245333).

The spelling of 10144101232 in words is "ten billion, one hundred forty-four million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 383 496 536 766 797 1072 1532 1594 2077 3064 3188 4154 6128 6376 8308 11873 12752 16616 23746 24707 25661 33232 47492 49414 51322 53399 94984 98828 102644 106798 189968 197656 205288 213596 305251 395312 410576 427192 610502 795491 854384 1221004 1590982 1655369 2442008 3181964 3310738 4884016 6363928 6621476 9462781 12727856 13242952 18925562 20451817 26485904 37851124 40903634 75702248 81807268 151404496 163614536 327229072 634006327 1268012654 2536025308 5072050616 10144101232