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144310222333020 = 223523197530825507
BaseRepresentation
bin100000110011111111010111…
…100010100010010001011100
3200220221220220111222120222010
4200303333113202202101130
5122403334313404124040
61230531111222151220
742253032560440662
oct4063772742422134
9626856814876863
10144310222333020
1141a88692390217
1214228355582510
13626a51b0cb7a3
14278c91b248c32
1511a3c902cee80
hex833fd78a245c

144310222333020 has 96 divisors (see below), whose sum is σ = 423777112754688. Its totient is φ = 36622713309952.

The previous prime is 144310222333019. The next prime is 144310222333037. The reversal of 144310222333020 is 20333222013441.

It is a happy number.

144310222333020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 265140894 + ... + 265684613.

It is an arithmetic number, because the mean of its divisors is an integer number (4414344924528).

Almost surely, 2144310222333020 is an apocalyptic number.

144310222333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144310222333020 is an abundant number, since it is smaller than the sum of its proper divisors (279466890421668).

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

144310222333020 is a wasteful number, since it uses less digits than its factorization.

144310222333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530825739 (or 530825737 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144310222333020 its reverse (20333222013441), we get a palindrome (164643444346461).

The spelling of 144310222333020 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred twenty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 197 230 276 345 394 460 591 690 788 985 1182 1380 1970 2364 2955 3940 4531 5910 9062 11820 13593 18124 22655 27186 45310 54372 67965 90620 135930 271860 530825507 1061651014 1592476521 2123302028 2654127535 3184953042 5308255070 6369906084 7962382605 10616510140 12208986661 15924765210 24417973322 31849530420 36626959983 48835946644 61044933305 73253919966 104572624879 122089866610 146507839932 183134799915 209145249758 244179733220 313717874637 366269599830 418290499516 522863124395 627435749274 732539199660 1045726248790 1254871498548 1568589373185 2091452497580 2405170372217 3137178746370 4810340744434 6274357492740 7215511116651 9620681488868 12025851861085 14431022233302 24051703722170 28862044466604 36077555583255 48103407444340 72155111166510 144310222333020