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320114352144 = 243293117941443
BaseRepresentation
bin1001010100010000100…
…11010110000000010000
31010121021022121222122110
410222020103112000100
520221043233232034
6403020345305320
732061506045406
oct4521023260020
91117238558573
10320114352144
1111383a22a824
1252059795240
1324257103822
14116ca6b3476
1584d84b6de9
hex4a884d6010

320114352144 has 160 divisors (see below), whose sum is σ = 888028876800. Its totient is φ = 99142525440.

The previous prime is 320114352133. The next prime is 320114352193. The reversal of 320114352144 is 441253411023.

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, 7703487 + ... + 7744929.

It is an arithmetic number, because the mean of its divisors is an integer number (5550180480).

Almost surely, 2320114352144 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 320114352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444014438400).

320114352144 is an abundant number, since it is smaller than the sum of its proper divisors (567914524656).

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

320114352144 is a wasteful number, since it uses less digits than its factorization.

320114352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41693 (or 41687 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 320114352144 its reverse (441253411023), we get a palindrome (761367763167).

The spelling of 320114352144 in words is "three hundred twenty billion, one hundred fourteen million, three hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 62 87 93 116 124 174 179 186 232 248 348 358 372 464 496 537 696 716 744 899 1074 1392 1432 1488 1798 2148 2697 2864 3596 4296 5191 5394 5549 7192 8592 10382 10788 11098 14384 15573 16647 20764 21576 22196 31146 33294 41443 41528 43152 44392 62292 66588 82886 83056 88784 124329 124584 133176 160921 165772 248658 249168 266352 321842 331544 482763 497316 643684 663088 965526 994632 1201847 1284733 1287368 1931052 1989264 2403694 2569466 2574736 3605541 3854199 3862104 4807388 5138932 7211082 7418297 7708398 7724208 9614776 10277864 14422164 14836594 15416796 19229552 20555728 22254891 28844328 29673188 30833592 37257257 44509782 57688656 59346376 61667184 74514514 89019564 111771771 118692752 149029028 178039128 215130613 223543542 229967207 298058056 356078256 430261226 447087084 459934414 596116112 645391839 689901621 860522452 894174168 919868828 1290783678 1379803242 1721044904 1788348336 1839737656 2581567356 2759606484 3442089808 3679475312 5163134712 5519212968 6669049003 10326269424 11038425936 13338098006 20007147009 26676196012 40014294018 53352392024 80028588036 106704784048 160057176072 320114352144