Search a number
-
+
320231311231314 = 237236411312739397
BaseRepresentation
bin100100011001111111010100…
…1100011010100100101010010
31112222211210222200022010121010
41020303332221203110211102
5313433132211133400224
63053024122232511350
7124310643263523450
oct11063765143244522
91488753880263533
10320231311231314
119304337786022a
122babab8224b556
131098b8b593ac12
1459113c73c59d0
152704e40950e29
hex1233fa98d4952

320231311231314 has 128 divisors (see below), whose sum is σ = 765050752622592. Its totient is φ = 87371225948160.

The previous prime is 320231311231267. The next prime is 320231311231331. The reversal of 320231311231314 is 413132113132023.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8128297464 + ... + 8128336860.

It is an arithmetic number, because the mean of its divisors is an integer number (5976959004864).

Almost surely, 2320231311231314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320231311231314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382525376311296).

320231311231314 is an abundant number, since it is smaller than the sum of its proper divisors (444819441391278).

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

320231311231314 is a wasteful number, since it uses less digits than its factorization.

320231311231314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53200.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 320231311231314 its reverse (413132113132023), we get a palindrome (733363424363337).

The spelling of 320231311231314 in words is "three hundred twenty trillion, two hundred thirty-one billion, three hundred eleven million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 641 966 1282 1923 3846 4487 8974 13127 13461 14743 26254 26922 29486 39381 39397 44229 78762 78794 88458 91889 103201 118191 183778 206402 236382 275667 275779 301921 309603 551334 551558 603842 619206 827337 905763 906131 1654674 1811526 1812262 2113447 2718393 4226894 5436786 6340341 6342917 8414407 12680682 12685834 16828814 19028751 25243221 25253477 38057502 50486442 50506954 58900849 75760431 117801698 151520862 176702547 176774339 193531361 353405094 353548678 387062722 517164419 530323017 580594083 580829971 1034328838 1060646034 1161188166 1161659942 1354719527 1551493257 1742489913 2709439054 3102986514 3484979826 3620150933 4064158581 4065809797 7240301866 8128317162 8131619594 10860452799 11894781637 12197429391 21720905598 23789563274 24394858782 35684344911 71368689822 83263471459 166526942918 249790414377 331502392579 499580828754 663004785158 994507177737 1989014355474 2320516748053 4641033496106 6961550244159 7624555029317 13923100488318 15249110058634 22873665087951 45747330175902 53371885205219 106743770410438 160115655615657 320231311231314