Search a number
-
+
4414022202331 = 717232671377639
BaseRepresentation
bin100000000111011100000…
…1110011011001111011011
3120121222100210111202101001
41000032320032123033123
51034304404140433311
613215435050405431
7633621404443360
oct100167016331733
916558323452331
104414022202331
111451a81507135
125b3573130877
1326031851a601
141138d5918467
1579c439204c1
hex403b839b3db

4414022202331 has 96 divisors (see below), whose sum is σ = 5709117496320. Its totient is φ = 3330306828288.

The previous prime is 4414022202319. The next prime is 4414022202389. The reversal of 4414022202331 is 1332022204144.

It is not a de Polignac number, because 4414022202331 - 29 = 4414022201819 is a prime.

It is a super-2 number, since 2×44140222023312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4414022202331.

It is not an unprimeable number, because it can be changed into a prime (4414022202631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577823410 + ... + 577831048.

It is an arithmetic number, because the mean of its divisors is an integer number (59469973920).

Almost surely, 24414022202331 is an apocalyptic number.

4414022202331 is a deficient number, since it is larger than the sum of its proper divisors (1295095293989).

4414022202331 is a wasteful number, since it uses less digits than its factorization.

4414022202331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4414022202331 its reverse (1332022204144), we get a palindrome (5746044406475).

The spelling of 4414022202331 in words is "four trillion, four hundred fourteen billion, twenty-two million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 7 17 23 67 119 137 161 391 469 529 959 1139 1541 2329 2737 3151 3703 7639 7973 8993 9179 10787 16303 22057 26197 35443 53473 53567 62951 64253 72473 129863 156043 175697 183379 211117 248101 374969 507311 511813 602531 909041 1046543 1092301 1229879 1232041 1477819 2986849 3582691 3588989 4041031 4217717 4855691 7325801 8624287 8700821 11771699 17791231 20907943 24070489 25122923 28287217 33989837 60905747 68697527 70118381 82401893 82546747 124538617 168493423 200118883 270749077 409198313 480882689 490828667 553621247 577827229 1192012477 1400832181 1612722763 1895243539 2864388191 3875348729 4602734309 8344087339 9411561199 11289059341 27416286971 32219140163 37092623549 65880928393 191914008797 259648364843 630574600333 4414022202331