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144440624164230 = 23252801572972447
BaseRepresentation
bin100000110101111000110100…
…000110000010110110000110
3200221102101111110000222101100
4200311320310012002312012
5122413003344241223410
61231111035014040530
742265330213634622
oct4065706406026606
9627371443028340
10144440624164230
1142028a19866059
1214249688949146
136279900306264
142794d6bc34182
1511a73735698c0
hex835e34182d86

144440624164230 has 48 divisors (see below), whose sum is σ = 375679699035264. Its totient is φ = 38503748371200.

The previous prime is 144440624164229. The next prime is 144440624164237. The reversal of 144440624164230 is 32461426044441.

144440624164230 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 0 + 624 + 16 + 4 + 2 + 3 + 0 = 666.

It is a super-2 number, since 2×1444406241642302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440624164237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286234134 + ... + 286738313.

It is an arithmetic number, because the mean of its divisors is an integer number (7826660396568).

Almost surely, 2144440624164230 is an apocalyptic number.

144440624164230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144440624164230 is an abundant number, since it is smaller than the sum of its proper divisors (231239074871034).

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

144440624164230 is a wasteful number, since it uses less digits than its factorization.

144440624164230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572975261 (or 572975258 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 144440624164230 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred twenty-four million, one hundred sixty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2801 5602 8403 14005 16806 25209 28010 42015 50418 84030 126045 252090 572972447 1145944894 1718917341 2864862235 3437834682 5156752023 5729724470 8594586705 10313504046 17189173410 25783760115 51567520230 1604895824047 3209791648094 4814687472141 8024479120235 9629374944282 14444062416423 16048958240470 24073437360705 28888124832846 48146874721410 72220312082115 144440624164230