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321411000300140 = 225173592723996671
BaseRepresentation
bin100100100010100100101010…
…0011111111111001001101100
31120011000120222020102000221102
41021011021110133333021230
5314111444212034101030
63055330101455422232
7124462115133254642
oct11105112437771154
91504016866360842
10321411000300140
1193458704558093
123006b731824978
1310a45c092c384a
14595253820b192
152725987452c45
hex12452547ff26c

321411000300140 has 96 divisors (see below), whose sum is σ = 716691251404800. Its totient is φ = 120659058007040.

The previous prime is 321411000300139. The next prime is 321411000300161. The reversal of 321411000300140 is 41003000114123.

It is a super-2 number, since 2×3214110003001402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3324744005 + ... + 3324840675.

It is an arithmetic number, because the mean of its divisors is an integer number (7465533868800).

Almost surely, 2321411000300140 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 321411000300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358345625702400).

321411000300140 is an abundant number, since it is smaller than the sum of its proper divisors (395280251104660).

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

321411000300140 is a wasteful number, since it uses less digits than its factorization.

321411000300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124295 (or 124293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 321411000300140 its reverse (41003000114123), we get a palindrome (362414000414263).

The spelling of 321411000300140 in words is "three hundred twenty-one trillion, four hundred eleven billion, three hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 359 718 1436 1795 3590 6103 7180 12206 24412 27239 30515 54478 61030 96671 108956 122060 136195 193342 272390 386684 463063 483355 544780 926126 966710 1643407 1852252 1933420 2315315 3286814 4630630 6573628 8217035 9261260 9778801 16434070 19557602 32868140 34704889 39115204 48894005 69409778 97788010 138819556 166239617 173524445 195576020 332479234 347048890 589983113 664958468 694097780 831198085 1179966226 1662396170 2359932452 2633221369 2949915565 3324792340 5266442738 5899831130 10532885476 11799662260 13166106845 26332213690 44764763273 52664427380 89529526546 179059053092 223823816365 447647632730 895295265460 945326471471 1890652942942 3781305885884 4726632357355 9453264714710 16070550015007 18906529429420 32141100030014 64282200060028 80352750075035 160705500150070 321411000300140