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144321031023040 = 2651763577417283
BaseRepresentation
bin100000110100001001011011…
…110010011010100111000000
3200220222221210210102221020201
4200310021123302122213000
5122404023432420214130
61230540055534014544
742253564455001534
oct4064113362324700
9626887723387221
10144321031023040
1141a92229630a93
121422a471347454
13626b5514c2361
14278d264959bc4
1511a41c417ebca
hex83425bc9a9c0

144321031023040 has 112 divisors (see below), whose sum is σ = 363886606796832. Its totient is φ = 54331638644736.

The previous prime is 144321031023011. The next prime is 144321031023049. The reversal of 144321031023040 is 40320130123441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144321031023049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345650239 + ... + 346067521.

It is an arithmetic number, because the mean of its divisors is an integer number (3248987560686).

Almost surely, 2144321031023040 is an apocalyptic number.

144321031023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144321031023040 is an abundant number, since it is smaller than the sum of its proper divisors (219565575773792).

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

144321031023040 is a wasteful number, since it uses less digits than its factorization.

144321031023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480894 (or 480884 counting only the distinct ones).

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

Adding to 144321031023040 its reverse (40320130123441), we get a palindrome (184641161146481).

The spelling of 144321031023040 in words is "one hundred forty-four trillion, three hundred twenty-one billion, thirty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 63577 127154 254308 317885 417283 508616 635770 834566 1017232 1080809 1271540 1669132 2034464 2086415 2161618 2543080 3338264 4068928 4172830 4323236 5086160 5404045 6676528 7093811 8345660 8646472 10172320 10808090 13353056 14187622 16691320 17292944 20344640 21616180 26706112 28375244 33382640 34585888 35469055 43232360 56750488 66765280 69171776 70938110 86464720 113500976 133530560 141876220 172929440 227001952 283752440 345858880 454003904 567504880 1135009760 2270019520 26529601291 53059202582 106118405164 132648006455 212236810328 265296012910 424473620656 451003221947 530592025820 848947241312 902006443894 1061184051640 1697894482624 1804012887788 2122368103280 2255016109735 3608025775576 4244736206560 4510032219470 7216051551152 8489472413120 9020064438940 14432103102304 18040128877880 28864206204608 36080257755760 72160515511520 144321031023040