Search a number
-
+
13401230211144 = 2333375437308411
BaseRepresentation
bin1100001100000011011110…
…0100001111100001001000
31202110010220202221002201000
43003000313210033201020
53224031204413224034
644300235024255000
72552130656205666
oct303006744174110
952403822832630
1013401230211144
1142a74800a2a16
1216052b8a71460
13762966138039
143448a173dc36
151838e4087599
hexc303790f848

13401230211144 has 128 divisors (see below), whose sum is σ = 38238893596800. Its totient is φ = 4345531441920.

The previous prime is 13401230211121. The next prime is 13401230211151. The reversal of 13401230211144 is 44111203210431.

It is a happy number.

13401230211144 is a `hidden beast` number, since 1 + 3 + 401 + 2 + 3 + 0 + 211 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 43298299 + ... + 43606709.

It is an arithmetic number, because the mean of its divisors is an integer number (298741356225).

Almost surely, 213401230211144 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 13401230211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119446798400).

13401230211144 is an abundant number, since it is smaller than the sum of its proper divisors (24837663385656).

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

13401230211144 is a wasteful number, since it uses less digits than its factorization.

13401230211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313900 (or 313890 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13401230211144 its reverse (44111203210431), we get a palindrome (57512433421575).

The spelling of 13401230211144 in words is "thirteen trillion, four hundred one billion, two hundred thirty million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 5437 7992 10874 16311 21748 32622 43496 48933 65244 97866 130488 146799 195732 201169 293598 308411 391464 402338 587196 603507 616822 804676 925233 1174392 1207014 1233644 1609352 1810521 1850466 2414028 2467288 2775699 3621042 3700932 4828056 5431563 5551398 7242084 7401864 8327097 10863126 11102796 11411207 14484168 16654194 21726252 22205592 22822414 33308388 34233621 43452504 45644828 66616776 68467242 91289656 102700863 136934484 205401726 273868968 308102589 410803452 616205178 821606904 1232410356 1676830607 2464820712 3353661214 5030491821 6707322428 10060983642 13414644856 15091475463 20121967284 30182950926 40243934568 45274426389 60365901852 62042732459 90548852778 120731803704 124085464918 181097705556 186128197377 248170929836 362195411112 372256394754 496341859672 558384592131 744512789508 1116769184262 1489025579016 1675153776393 2233538368524 3350307552786 4467076737048 6700615105572 13401230211144