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144310222010420 = 22516354181824287
BaseRepresentation
bin100000110011111111010111…
…100001010011100000110100
3200220221220220111101012102222
4200303333113201103200310
5122403334313313313140
61230531111211221512
742253032554625314
oct4063772741234064
9626856814335388
10144310222010420
1141a8869218a904
1214228355447898
13626a51b0179bb
14278c91b1a3444
1511a3c902695b5
hex833fd7853834

144310222010420 has 48 divisors (see below), whose sum is σ = 305474287093248. Its totient is φ = 57263908314240.

The previous prime is 144310222010359. The next prime is 144310222010429. The reversal of 144310222010420 is 24010222013441.

144310222010420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144310222010420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144310222010429) 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, 39148484 + ... + 42675803.

It is an arithmetic number, because the mean of its divisors is an integer number (6364047647776).

Almost surely, 2144310222010420 is an apocalyptic number.

144310222010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144310222010420 is an abundant number, since it is smaller than the sum of its proper divisors (161164065082828).

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

144310222010420 is a wasteful number, since it uses less digits than its factorization.

144310222010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81825000 (or 81824998 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144310222010420 its reverse (24010222013441), we get a palindrome (168320444023861).

The spelling of 144310222010420 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred twenty-two million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 163 326 541 652 815 1082 1630 2164 2705 3260 5410 10820 88183 176366 352732 440915 881830 1763660 81824287 163648574 327297148 409121435 818242870 1636485740 13337358781 26674717562 44266939267 53349435124 66686793905 88533878534 133373587810 177067757068 221334696335 266747175620 442669392670 885338785340 7215511100521 14431022201042 28862044402084 36077555502605 72155111005210 144310222010420