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144331140043000 = 23536121371107199
BaseRepresentation
bin100000110100010010110110…
…010101010001000011111000
3200221000220220022100100122101
4200310102312111101003320
5122404210133322334000
61230544451013233144
742254403125154121
oct4064226625210370
9627026808310571
10144331140043000
1141a96546938339
12142304129327b4
13626c4a2960a81
14278d94337b048
1511a45b68c4e6a
hex8344b65510f8

144331140043000 has 128 divisors (see below), whose sum is σ = 343432447488000. Its totient is φ = 56759398272000.

The previous prime is 144331140042997. The next prime is 144331140043009. The reversal of 144331140043000 is 340041133441.

It is a happy number.

It is a super-2 number, since 2×1443311400430002 (a number of 29 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 144331140043000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144331140043009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129803401 + ... + 130910599.

It is an arithmetic number, because the mean of its divisors is an integer number (2683065996000).

Almost surely, 2144331140043000 is an apocalyptic number.

144331140043000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144331140043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171716223744000).

144331140043000 is an abundant number, since it is smaller than the sum of its proper divisors (199101307445000).

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

144331140043000 is a wasteful number, since it uses less digits than its factorization.

144331140043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109418 (or 1109404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144331140043000 its reverse (340041133441), we get a palindrome (144671181176441).

The spelling of 144331140043000 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred forty million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2137 2440 3050 4274 6100 7625 8548 10685 12200 15250 17096 21370 30500 42740 53425 61000 85480 106850 130357 213700 260714 267125 427400 521428 534250 651785 1042856 1068500 1107199 1303570 2137000 2214398 2607140 3258925 4428796 5214280 5535995 6517850 8857592 11071990 13035700 16294625 22143980 26071400 27679975 32589250 44287960 55359950 65178500 67539139 110719900 130357000 135078278 138399875 221439800 270156556 276799750 337695695 540313112 553599500 675391390 1107199000 1350782780 1688478475 2366084263 2701565560 3376956950 4732168526 6753913900 8442392375 9464337052 11830421315 13507827800 16884784750 18928674104 23660842630 33769569500 47321685260 59152106575 67539139000 94643370520 118304213150 144331140043 236608426300 288662280086 295760532875 473216852600 577324560172 591521065750 721655700215 1154649120344 1183042131500 1443311400430 2366084263000 2886622800860 3608278501075 5773245601720 7216557002150 14433114004300 18041392505375 28866228008600 36082785010750 72165570021500 144331140043000