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42943191390 = 23351188716301
BaseRepresentation
bin100111111111100111…
…010001100101011110
311002211210012011002000
4213333213101211132
51200421424111030
631421113343130
73050113050501
oct477747214536
9132753164060
1042943191390
1117237348320
1283a5707aa6
134084a66628
142115427138
1511b50a8860
hex9ff9d195e

42943191390 has 128 divisors (see below), whose sum is σ = 125074160640. Its totient is φ = 10398096000.

The previous prime is 42943191383. The next prime is 42943191391. The reversal of 42943191390 is 9319134924.

42943191390 is a `hidden beast` number, since 42 + 9 + 431 + 91 + 3 + 90 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42943191391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2626240 + ... + 2642540.

It is an arithmetic number, because the mean of its divisors is an integer number (977141880).

Almost surely, 242943191390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42943191390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62537080320).

42943191390 is an abundant number, since it is smaller than the sum of its proper divisors (82130969250).

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

42943191390 is a wasteful number, since it uses less digits than its factorization.

42943191390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17215 (or 17209 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 42943191390 in words is "forty-two billion, nine hundred forty-three million, one hundred ninety-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 887 990 1485 1774 2661 2970 4435 5322 7983 8870 9757 13305 15966 16301 19514 23949 26610 29271 32602 39915 47898 48785 48903 58542 79830 81505 87813 97570 97806 119745 146355 146709 163010 175626 179311 239490 244515 263439 292710 293418 358622 439065 440127 489030 526878 537933 733545 878130 880254 896555 1075866 1317195 1467090 1613799 1793110 2200635 2634390 2689665 3227598 4401270 4841397 5379330 8068995 9682794 14458987 16137990 24206985 28917974 43376961 48413970 72294935 86753922 130130883 144589870 159048857 216884805 260261766 318097714 390392649 433769610 477146571 650654415 780785298 795244285 954293142 1301308830 1431439713 1590488570 1951963245 2385732855 2862879426 3903926490 4294319139 4771465710 7157198565 8588638278 14314397130 21471595695 42943191390