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2034131413444 = 2213194326471721
BaseRepresentation
bin11101100110011011101…
…011100010100111000100
321012110110010010022010221
4131212123223202213010
5231311400120212234
64154244515354124
7266650446506044
oct35463353424704
97173403108127
102034131413444
11714741175999
1228a28a5b2944
13119a8283cac0
1470649899724
1537da4688eb4
hex1d99bae29c4

2034131413444 has 144 divisors (see below), whose sum is σ = 4140138199680. Its totient is φ = 866886935040.

The previous prime is 2034131413411. The next prime is 2034131413481. The reversal of 2034131413444 is 4443141314302.

It is a super-2 number, since 2×20341314134442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1181946504 + ... + 1181948224.

It is an arithmetic number, because the mean of its divisors is an integer number (28750959720).

Almost surely, 22034131413444 is an apocalyptic number.

It is an amenable number.

2034131413444 is an abundant number, since it is smaller than the sum of its proper divisors (2106006786236).

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

2034131413444 is a wasteful number, since it uses less digits than its factorization.

2034131413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 2034131413444 its reverse (4443141314302), we get a palindrome (6477272727746).

The spelling of 2034131413444 in words is "two trillion, thirty-four billion, one hundred thirty-one million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 13 19 26 38 43 52 76 86 172 247 494 559 647 817 988 1118 1294 1634 1721 1849 2236 2588 3268 3442 3698 6884 7396 8411 10621 12293 16822 21242 22373 24037 24586 27821 32699 33644 35131 42484 44746 48074 49172 55642 65398 70262 74003 89492 96148 111284 130796 140524 148006 159809 296012 319618 361673 425087 456703 528599 639236 723346 850174 913406 962039 1057198 1113487 1196303 1406057 1446692 1700348 1826812 1924078 2114396 2226974 2392606 2812114 3182129 3848156 4453948 4785212 5624228 6364258 6871787 12728516 13743574 14475331 15551939 18278741 21156253 22729757 27487148 28950662 31103878 36557482 41367677 42312506 45459514 47879941 57901324 60460451 62207756 73114964 82735354 84625012 90919028 95759882 120920902 165470708 191519764 241841804 275031289 295486841 550062578 590973682 622439233 785985863 909718879 1100125156 1181947364 1244878466 1571971726 1819437758 2058837463 2489756932 3143943452 3638875516 4117674926 8235349852 11826345427 23652690854 26764887019 39117911797 47305381708 53529774038 78235823594 107059548076 156471647188 508532853361 1017065706722 2034131413444