Search a number
-
+
240413322132 = 223324160715217
BaseRepresentation
bin1101111111100111000…
…0000010101110010100
3211222112211002011101000
43133321300002232110
512414331302302012
6302235551503300
723240444343414
oct3377160025624
9758484064330
10240413322132
1192a60064285
123a715b27b30
1319894bc8a39
14b8c9520644
1563c13a1ddc
hex37f9c02b94

240413322132 has 96 divisors (see below), whose sum is σ = 626952381440. Its totient is φ = 79668541440.

The previous prime is 240413322131. The next prime is 240413322137. The reversal of 240413322132 is 231223314042.

240413322132 is a `hidden beast` number, since 2 + 4 + 0 + 413 + 32 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240413322096 and 240413322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240413322131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15791388 + ... + 15806604.

Almost surely, 2240413322132 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 240413322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313476190720).

240413322132 is an abundant number, since it is smaller than the sum of its proper divisors (386539059308).

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

240413322132 is a wasteful number, since it uses less digits than its factorization.

240413322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240413322132 its reverse (231223314042), we get a palindrome (471636636174).

The spelling of 240413322132 in words is "two hundred forty billion, four hundred thirteen million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 607 723 964 1214 1446 1821 2169 2428 2892 3642 4338 5463 6507 7284 8676 10926 13014 15217 16389 21852 26028 30434 32778 45651 60868 65556 91302 136953 146287 182604 273906 292574 410859 438861 547812 585148 821718 877722 1316583 1643436 1755444 2633166 3667297 3949749 5266332 7334594 7899498 9236719 11001891 14669188 15798996 18473438 22003782 27710157 33005673 36946876 44007564 55420314 66011346 83130471 99017019 110840628 132022692 166260942 198034038 249391413 332521884 396068076 498782826 997565652 2226049279 4452098558 6678147837 8904197116 13356295674 20034443511 26712591348 40068887022 60103330533 80137774044 120206661066 240413322132