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130231239984 = 24324388323819
BaseRepresentation
bin111100101001001100…
…0110000010100110000
3110110011001001110020200
41321102120300110300
54113203144134414
6135454415235200
712260152163256
oct1712230602460
9413131043220
10130231239984
115025a15a15a
12212a6218b00
13c385a79321
1464360a05d6
1535c32de109
hex1e52630530

130231239984 has 120 divisors (see below), whose sum is σ = 373380596160. Its totient is φ = 42351071616.

The previous prime is 130231239913. The next prime is 130231239989. The reversal of 130231239984 is 489932132031.

130231239984 is a `hidden beast` number, since 1 + 302 + 31 + 239 + 9 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (130231239989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5455627 + ... + 5479445.

It is an arithmetic number, because the mean of its divisors is an integer number (3111504968).

Almost surely, 2130231239984 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 130231239984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186690298080).

130231239984 is an abundant number, since it is smaller than the sum of its proper divisors (243149356176).

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

130231239984 is a wasteful number, since it uses less digits than its factorization.

130231239984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24759 (or 24750 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 130231239984 in words is "one hundred thirty billion, two hundred thirty-one million, two hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 883 1032 1548 1766 2064 2649 3096 3532 5298 6192 7064 7947 10596 14128 15894 21192 23819 31788 37969 42384 47638 63576 71457 75938 95276 113907 127152 142914 151876 190552 214371 227814 285828 303752 341721 381104 428742 455628 571656 607504 683442 857484 911256 1024217 1143312 1366884 1714968 1822512 2048434 2733768 3072651 3429936 4096868 5467536 6145302 8193736 9217953 12290604 16387472 18435906 21032177 24581208 36871812 42064354 49162416 63096531 73743624 84128708 126193062 147487248 168257416 189289593 252386124 336514832 378579186 504772248 757158372 904383611 1009544496 1514316744 1808767222 2713150833 3028633488 3617534444 5426301666 7235068888 8139452499 10852603332 14470137776 16278904998 21705206664 32557809996 43410413328 65115619992 130231239984