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424427265144 = 233229241843443
BaseRepresentation
bin1100010110100011101…
…01100001110001111000
31111120112001210000021200
412023101311201301320
523423211334441034
6522551301134200
742443463141321
oct6132165416170
91446461700250
10424427265144
11153aa9143233
126a30b9ba360
133103c30419c
141678445d448
15b091186a99
hex62d1d61c78

424427265144 has 96 divisors (see below), whose sum is σ = 1194063670800. Its totient is φ = 136030325760.

The previous prime is 424427265107. The next prime is 424427265169. The reversal of 424427265144 is 441562724424.

It is a happy number.

424427265144 is a `hidden beast` number, since 4 + 2 + 442 + 7 + 2 + 65 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 424427265144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81487 + ... + 924929.

Almost surely, 2424427265144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424427265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597031835400).

424427265144 is an abundant number, since it is smaller than the sum of its proper divisors (769636405656).

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

424427265144 is a wasteful number, since it uses less digits than its factorization.

424427265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843725 (or 843718 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 45.

Adding to 424427265144 its reverse (441562724424), we get a palindrome (865989989568).

The spelling of 424427265144 in words is "four hundred twenty-four billion, four hundred twenty-seven million, two hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 241 261 348 482 522 696 723 964 1044 1446 1928 2088 2169 2892 4338 5784 6989 8676 13978 17352 20967 27956 41934 55912 62901 83868 125802 167736 251604 503208 843443 1686886 2530329 3373772 5060658 6747544 7590987 10121316 15181974 20242632 24459847 30363948 48919694 60727896 73379541 97839388 146759082 195678776 203269763 220138623 293518164 406539526 440277246 587036328 609809289 813079052 880554492 1219618578 1626158104 1761108984 1829427867 2439237156 3658855734 4878474312 5894823127 7317711468 11789646254 14635422936 17684469381 23579292508 35368938762 47158585016 53053408143 70737877524 106106816286 141475755048 212213632572 424427265144