Search a number
-
+
321415309620 = 223253748260557
BaseRepresentation
bin1001010110101011101…
…10000110100100110100
31010201121222121110210200
410223111312012210310
520231224304401440
6403353421320500
732135654024346
oct4532566064464
91121558543720
10321415309620
11114347621399
1252361406130
13244037b5552
14117b13a3296
1585627e5c30
hex4ad5d86934

321415309620 has 72 divisors (see below), whose sum is σ = 1001310057384. Its totient is φ = 83394240768.

The previous prime is 321415309619. The next prime is 321415309697. The reversal of 321415309620 is 26903514123.

321415309620 is a `hidden beast` number, since 3 + 2 + 14 + 1 + 530 + 96 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43953961104 + 277461348516 = 209652^2 + 526746^2 .

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, 24123619 + ... + 24136938.

Almost surely, 2321415309620 is an apocalyptic number.

321415309620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321415309620 is an abundant number, since it is smaller than the sum of its proper divisors (679894747764).

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

321415309620 is a wasteful number, since it uses less digits than its factorization.

321415309620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48260609 (or 48260604 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 321415309620 in words is "three hundred twenty-one billion, four hundred fifteen million, three hundred nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 48260557 96521114 144781671 193042228 241302785 289563342 434345013 482605570 579126684 723908355 868690026 965211140 1447816710 1737380052 1785640609 2171725065 2895633420 3571281218 4343450130 5356921827 7142562436 8686900260 8928203045 10713843654 16070765481 17856406090 21427687308 26784609135 32141530962 35712812180 53569218270 64283061924 80353827405 107138436540 160707654810 321415309620