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130321311984 = 24324723980567
BaseRepresentation
bin111100101011111000…
…0010110100011110000
3110110101022112120210200
41321113300112203300
54113344223440414
6135511353555200
712262324605663
oct1712760264360
9413338476720
10130321311984
11502a5a8a626
1221310415b00
13c39b624c76
1464440296da
1535cb182109
hex1e57c168f0

130321311984 has 120 divisors (see below), whose sum is σ = 374041774080. Its totient is φ = 42337755264.

The previous prime is 130321311971. The next prime is 130321312073. The reversal of 130321311984 is 489113123031.

130321311984 is a `hidden beast` number, since 13 + 0 + 321 + 311 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577269 + ... + 1657835.

It is an arithmetic number, because the mean of its divisors is an integer number (3117014784).

Almost surely, 2130321311984 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 130321311984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187020887040).

130321311984 is an abundant number, since it is smaller than the sum of its proper divisors (243720462096).

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

130321311984 is a wasteful number, since it uses less digits than its factorization.

130321311984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80867 (or 80858 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 130321311984 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 239 282 376 423 478 564 717 752 846 956 1128 1434 1692 1912 2151 2256 2868 3384 3824 4302 5736 6768 8604 11233 11472 17208 22466 33699 34416 44932 67398 80567 89864 101097 134796 161134 179728 202194 241701 269592 322268 404388 483402 539184 644536 725103 808776 966804 1289072 1450206 1617552 1933608 2900412 3786649 3867216 5800824 7573298 11359947 11601648 15146596 19255513 22719894 30293192 34079841 38511026 45439788 57766539 60586384 68159682 77022052 90879576 115533078 136319364 154044104 173299617 181759152 231066156 272638728 308088208 346599234 462132312 545277456 693198468 905009111 924264624 1386396936 1810018222 2715027333 2772793872 3620036444 5430054666 7240072888 8145081999 10860109332 14480145776 16290163998 21720218664 32580327996 43440437328 65160655992 130321311984