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321689937140 = 2251113620318133
BaseRepresentation
bin1001010111001100011…
…01101110010011110100
31010202100010100222221022
410223212031232103310
520232310110442030
6403440551440312
732145530230565
oct4534615562364
91122303328838
10321689937140
11114478646090
1252419386098
132444866b740
14117d9a5016c
15857b991de5
hex4ae636e4f4

321689937140 has 96 divisors (see below), whose sum is σ = 793823538816. Its totient is φ = 107956477440.

The previous prime is 321689937103. The next prime is 321689937167. The reversal of 321689937140 is 41739986123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17731514 + ... + 17749646.

It is an arithmetic number, because the mean of its divisors is an integer number (8268995196).

Almost surely, 2321689937140 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 321689937140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396911769408).

321689937140 is an abundant number, since it is smaller than the sum of its proper divisors (472133601676).

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

321689937140 is a wasteful number, since it uses less digits than its factorization.

321689937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24369 (or 24367 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 321689937140 in words is "three hundred twenty-one billion, six hundred eighty-nine million, nine hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 6203 12406 18133 24812 31015 36266 62030 68233 72532 80639 90665 124060 136466 161278 181330 199463 235729 272932 322556 341165 362660 398926 403195 471458 682330 797852 806390 887029 942916 997315 1178645 1364660 1612780 1774058 1994630 2357290 2593019 3548116 3989260 4435145 4714580 5186038 8870290 10372076 12965095 17740580 25930190 51860380 112478999 224957998 449915996 562394995 1124789990 1237268989 1462226987 2249579980 2474537978 2924453974 4949075956 5848907948 6186344945 7311134935 12372689890 14622269870 16084496857 24745379780 29244539740 32168993714 64337987428 80422484285 160844968570 321689937140