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215135440024 = 231931374328697
BaseRepresentation
bin1100100001011100010…
…0100100110010011000
3202120022011021200222011
43020113010210302120
512011044133040044
6242455403035304
721354154032211
oct3102704446230
9676264250864
10215135440024
118326939031a
123584050bb34
1317396c39b4b
14a5ac2c0408
1558e20de134
hex3217124c98

215135440024 has 128 divisors (see below), whose sum is σ = 460637337600. Its totient is φ = 93718840320.

The previous prime is 215135439979. The next prime is 215135440027. The reversal of 215135440024 is 420044531512.

It is a super-2 number, since 2×2151354400242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215135440027) 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, 7482444 + ... + 7511140.

It is an arithmetic number, because the mean of its divisors is an integer number (3598729200).

Almost surely, 2215135440024 is an apocalyptic number.

It is an amenable number.

215135440024 is an abundant number, since it is smaller than the sum of its proper divisors (245501897576).

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

215135440024 is a wasteful number, since it uses less digits than its factorization.

215135440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28833 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 215135440024 its reverse (420044531512), we get a palindrome (635179971536).

The spelling of 215135440024 in words is "two hundred fifteen billion, one hundred thirty-five million, four hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 19 31 37 38 43 62 74 76 86 124 148 152 172 248 296 344 589 703 817 1147 1178 1333 1406 1591 1634 2294 2356 2666 2812 3182 3268 4588 4712 5332 5624 6364 6536 9176 10664 12728 21793 25327 28697 30229 43586 49321 50654 57394 60458 87172 98642 101308 114788 120916 174344 197284 202616 229576 241832 394568 545243 889607 937099 1061789 1090486 1233971 1779214 1874198 2123578 2180972 2467942 3558428 3748396 4247156 4361944 4935884 7116856 7496792 8494312 9871768 16902533 20173991 23445449 32915459 33805066 38253101 40347982 45656927 46890898 65830918 67610132 76506202 80695964 91313854 93781796 131661836 135220264 153012404 161391928 182627708 187563592 263323672 306024808 365255416 625393721 726808919 867481613 1250787442 1415364737 1453617838 1734963226 2501574884 2830729474 2907235676 3469926452 5003149768 5661458948 5814471352 6939852904 11322917896 26891930003 53783860006 107567720012 215135440024