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144441223223020 = 2251012811549164279
BaseRepresentation
bin100000110101111001010111…
…110011010001011011101100
3200221102110001012021022112221
4200311321113303101123230
5122413011111121114040
61231111214254005124
742265351106563663
oct4065712763213354
9627373035238487
10144441223223020
11420291a6a30869
12142498154a67a4
136279997462609
142794dc7613dda
1511a73aae4d74a
hex835e57cd16ec

144441223223020 has 96 divisors (see below), whose sum is σ = 307620279792000. Its totient is φ = 56963725056000.

The previous prime is 144441223222969. The next prime is 144441223223047. The reversal of 144441223223020 is 20322322144441.

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, 879161241 + ... + 879325519.

It is an arithmetic number, because the mean of its divisors is an integer number (3204377914500).

Almost surely, 2144441223223020 is an apocalyptic number.

144441223223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441223223020 is an abundant number, since it is smaller than the sum of its proper divisors (163179056568980).

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

144441223223020 is a wasteful number, since it uses less digits than its factorization.

144441223223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166219 (or 166217 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144441223223020 its reverse (20322322144441), we get a palindrome (164763545367461).

The spelling of 144441223223020 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 281 404 505 562 1010 1124 1405 1549 2020 2810 3098 5620 6196 7745 15490 28381 30980 56762 113524 141905 156449 164279 283810 312898 328558 435269 567620 625796 657116 782245 821395 870538 1564490 1642790 1741076 2176345 3128980 3285580 4352690 8705380 16592179 33184358 43962169 46162399 66368716 82960895 87924338 92324798 165921790 175848676 184649596 219810845 230811995 254468171 331843580 439621690 461623990 508936342 879243380 923247980 1017872684 1272340855 2544681710 4662402299 5089363420 9324804598 18649609196 23312011495 25701285271 46624022990 51402570542 71505556051 93248045980 102805141084 128506426355 143011112102 257012852710 286022224204 357527780255 514025705420 715055560510 1430111121020 7222061161151 14444122322302 28888244644604 36110305805755 72220611611510 144441223223020