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23241441040 = 245718394877
BaseRepresentation
bin10101101001010011…
…000011111100010000
32012222201212112102121
4111221103003330100
5340044302103130
614402120424024
71451641663216
oct255123037420
965881775377
1023241441040
119947207714
124607618014
1322650c5b9c
1411a69bacb6
15910602d7a
hex5694c3f10

23241441040 has 80 divisors (see below), whose sum is σ = 54873987840. Its totient is φ = 9152837120.

The previous prime is 23241441037. The next prime is 23241441053. The reversal of 23241441040 is 4014414232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23241440996 and 23241441014.

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, 4763082 + ... + 4767958.

It is an arithmetic number, because the mean of its divisors is an integer number (685924848).

Almost surely, 223241441040 is an apocalyptic number.

23241441040 is a gapful number since it is divisible by the number (20) 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 23241441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436993920).

23241441040 is an abundant number, since it is smaller than the sum of its proper divisors (31632546800).

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

23241441040 is a wasteful number, since it uses less digits than its factorization.

23241441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23241441040 its reverse (4014414232), we get a palindrome (27255855272).

The spelling of 23241441040 in words is "twenty-three billion, two hundred forty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 839 1136 1420 1678 2840 3356 4195 4877 5680 6712 8390 9754 13424 16780 19508 24385 33560 39016 48770 59569 67120 78032 97540 119138 195080 238276 297845 346267 390160 476552 595690 692534 953104 1191380 1385068 1731335 2382760 2770136 3462670 4091803 4765520 5540272 6925340 8183606 13850680 16367212 20459015 27701360 32734424 40918030 65468848 81836060 163672120 290518013 327344240 581036026 1162072052 1452590065 2324144104 2905180130 4648288208 5810360260 11620720520 23241441040