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42718388381724 = 2231123119311794313
BaseRepresentation
bin10011011011010001001100…
…10111010110100000011100
312121020211121221020211121110
421231220212113112200130
521044344224411203344
6230504320125302020
711666205326042466
oct1155504627264034
9177224557224543
1042718388381724
111267a848636940
12495b139a04910
131aab432b005c3
14a7981c4b9136
154e130b2c63b9
hex26da265d681c

42718388381724 has 96 divisors (see below), whose sum is σ = 113560561626624. Its totient is φ = 12371761515520.

The previous prime is 42718388381677. The next prime is 42718388381729.

42718388381724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718388381729) 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, 2275209 + ... + 9519104.

It is an arithmetic number, because the mean of its divisors is an integer number (1182922516944).

Almost surely, 242718388381724 is an apocalyptic number.

42718388381724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42718388381724 is an abundant number, since it is smaller than the sum of its proper divisors (70842173244900).

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

42718388381724 is a wasteful number, since it uses less digits than its factorization.

42718388381724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11795547 (or 11795545 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 66.

The spelling of 42718388381724 in words is "forty-two trillion, seven hundred eighteen billion, three hundred eighty-eight million, three hundred eighty-one thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1193 1518 2386 3036 3579 4772 7158 13123 14316 26246 27439 39369 52492 54878 78738 82317 109756 157476 164634 301829 329268 603658 905487 1207316 1810974 3621948 11794313 23588626 35382939 47177252 70765878 129737443 141531756 259474886 271269199 389212329 518949772 542538398 778424658 813807597 1085076796 1556849316 1627615194 2983961189 3255230388 5967922378 8951883567 11935844756 14070615409 17903767134 28141230818 35807534268 42211846227 56282461636 84423692454 154776769499 168847384908 309553538998 323624154407 464330308497 619107077996 647248308814 928660616994 970872463221 1294496617628 1857321233988 1941744926442 3559865698477 3883489852884 7119731396954 10679597095431 14239462793908 21359194190862 42718388381724