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144240330201420 = 22355476017312631
BaseRepresentation
bin100000110010111110010001…
…101001001101100101001100
3200220201020111121121102201110
4200302332101221031211030
5122401213144012421140
61230435032023212020
742245006563224315
oct4062762151154514
9626636447542643
10144240330201420
1141a60a87074292
12142168aa8a7010
136263a601211bb
1427893aaab160c
1511a204e3ca380
hex832f91a4d94c

144240330201420 has 96 divisors (see below), whose sum is σ = 405284551773696. Its totient is φ = 38329881408000.

The previous prime is 144240330201413. The next prime is 144240330201427. The reversal of 144240330201420 is 24102033042441.

It is an interprime number because it is at equal distance from previous prime (144240330201413) and next prime (144240330201427).

It is a super-2 number, since 2×1442403302014202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144240330201427) 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, 16068505 + ... + 23381135.

It is an arithmetic number, because the mean of its divisors is an integer number (4221714080976).

Almost surely, 2144240330201420 is an apocalyptic number.

144240330201420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240330201420 is an abundant number, since it is smaller than the sum of its proper divisors (261044221572276).

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

144240330201420 is a wasteful number, since it uses less digits than its factorization.

144240330201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313791 (or 7313789 counting only the distinct ones).

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

Adding to 144240330201420 its reverse (24102033042441), we get a palindrome (168342363243861).

The spelling of 144240330201420 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred thirty million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 547 601 1094 1202 1641 1803 2188 2404 2735 3005 3282 3606 5470 6010 6564 7212 8205 9015 10940 12020 16410 18030 32820 36060 328747 657494 986241 1314988 1643735 1972482 3287470 3944964 4931205 6574940 7312631 9862410 14625262 19724820 21937893 29250524 36563155 43875786 73126310 87751572 109689465 146252620 219378930 438757860 4000009157 4394891231 8000018314 8789782462 12000027471 13184673693 16000036628 17579564924 20000045785 21974456155 24000054942 26369347386 40000091570 43948912310 48000109884 52738694772 60000137355 65923368465 80000183140 87897824620 120000274710 131846736930 240000549420 263693473860 2404005503357 4808011006714 7212016510071 9616022013428 12020027516785 14424033020142 24040055033570 28848066040284 36060082550355 48080110067140 72120165100710 144240330201420