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344402104443020 = 225136725178766931
BaseRepresentation
bin100111001001110110101110…
…1000110000110000010001100
31200011102112000211000110012122
41032103231131012012002030
5330120141002214134040
63220252050444152112
7132354142131111311
oct11623553506060214
91604375024013178
10344402104443020
119a812126460768
1232763527b38638
1311a22c960bb5a0
146109217ad8d08
1529c3a50a731b5
hex1393b5d18608c

344402104443020 has 96 divisors (see below), whose sum is σ = 793653086290176. Its totient is φ = 124766817120000.

The previous prime is 344402104442971. The next prime is 344402104443041. The reversal of 344402104443020 is 20344401204443.

It is a super-2 number, since 2×3444021044430202 (a number of 30 digits) contains 22 as substring.

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, 35011046 + ... + 43755885.

It is an arithmetic number, because the mean of its divisors is an integer number (8267219648856).

Almost surely, 2344402104443020 is an apocalyptic number.

It is an amenable number.

344402104443020 is an abundant number, since it is smaller than the sum of its proper divisors (449250981847156).

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

344402104443020 is a wasteful number, since it uses less digits than its factorization.

344402104443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78767271 (or 78767269 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 344402104443020 its reverse (20344401204443), we get a palindrome (364746505647463).

The spelling of 344402104443020 in words is "three hundred forty-four trillion, four hundred two billion, one hundred four million, four hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 251 260 268 335 502 670 871 1004 1255 1340 1742 2510 3263 3484 4355 5020 6526 8710 13052 16315 16817 17420 32630 33634 65260 67268 84085 168170 218621 336340 437242 874484 1093105 2186210 4372420 78766931 157533862 315067724 393834655 787669310 1023970103 1575338620 2047940206 4095880412 5119850515 5277384377 10239701030 10554768754 19770499681 20479402060 21109537508 26386921885 39540999362 52773843770 68605996901 79081998724 98852498405 105547687540 137211993802 197704996810 257016495853 274423987604 343029984505 395409993620 514032991706 686059969010 1028065983412 1285082479265 1324623478627 1372119938020 2570164958530 2649246957254 5140329917060 5298493914508 6623117393135 13246234786270 17220105222151 26492469572540 34440210444302 68880420888604 86100526110755 172201052221510 344402104443020