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144214433004 = 223192319711071
BaseRepresentation
bin1000011001001111011…
…0011001110011101100
3111210020112220020222110
42012103312121303230
54330322343324004
6150130131444020
713263524311665
oct2062366316354
9453215806873
10144214433004
1156185319024
1223b49156610
13107a3a52235
146da124036c
153b40c02589
hex2193d99cec

144214433004 has 144 divisors (see below), whose sum is σ = 370412077056. Its totient is φ = 43614028800.

The previous prime is 144214432927. The next prime is 144214433053. The reversal of 144214433004 is 400334412441.

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, 13020789 + ... + 13031859.

Almost surely, 2144214433004 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 144214433004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185206038528).

144214433004 is an abundant number, since it is smaller than the sum of its proper divisors (226197644052).

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

144214433004 is a wasteful number, since it uses less digits than its factorization.

144214433004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144214433004 its reverse (400334412441), we get a palindrome (544548845445).

The spelling of 144214433004 in words is "one hundred forty-four billion, two hundred fourteen million, four hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 97 114 124 186 194 228 291 361 372 388 582 589 722 1083 1164 1178 1444 1767 1843 2166 2356 3007 3534 3686 4332 5529 6014 7068 7372 9021 11058 11071 11191 12028 18042 22116 22142 22382 33213 33573 35017 36084 44284 44764 57133 66426 67146 70034 105051 114266 132852 134292 140068 171399 210102 210349 228532 342798 343201 420204 420698 631047 685596 686402 841396 1029603 1073887 1085527 1262094 1372804 2059206 2147774 2171054 2524188 3221661 3256581 3996631 4118412 4295548 4342108 6443322 6513162 6520819 7993262 11989893 12886644 13026324 13041638 15986524 19562457 20403853 23979786 26083276 33290497 39124914 40807706 47959572 61211559 66580994 78249828 81615412 99871491 122423118 123895561 133161988 199742982 244846236 247791122 371686683 387673207 399485964 495582244 632519443 743373366 775346414 1163019621 1265038886 1486746732 1550692828 1897558329 2326039242 2530077772 3795116658 4652078484 7590233316 12017869417 24035738834 36053608251 48071477668 72107216502 144214433004