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42723384440 = 23511435938273
BaseRepresentation
bin100111110010100000…
…110001110001111000
311002021110120210121212
4213302200301301320
51144444141300230
631343222222252
73041503530062
oct476240616170
9132243523555
1042723384440
1117134267090
128343b84988
13404b365a49
1420d416a732
1511a0b3a895
hex9f2831c78

42723384440 has 128 divisors (see below), whose sum is σ = 109126828800. Its totient is φ = 14916894720.

The previous prime is 42723384433. The next prime is 42723384449. The reversal of 42723384440 is 4448332724.

It is a happy number.

It is a super-2 number, since 2×427233844402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42723384449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097144 + ... + 1135416.

It is an arithmetic number, because the mean of its divisors is an integer number (852553350).

Almost surely, 242723384440 is an apocalyptic number.

42723384440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42723384440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54563414400).

42723384440 is an abundant number, since it is smaller than the sum of its proper divisors (66403444360).

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

42723384440 is a wasteful number, since it uses less digits than its factorization.

42723384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38397 (or 38393 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The spelling of 42723384440 in words is "forty-two billion, seven hundred twenty-three million, three hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 59 86 88 110 118 172 215 220 236 295 344 430 440 472 473 590 649 860 946 1180 1298 1720 1892 2360 2365 2537 2596 3245 3784 4730 5074 5192 6490 9460 10148 12685 12980 18920 20296 25370 25960 27907 38273 50740 55814 76546 101480 111628 139535 153092 191365 223256 279070 306184 382730 421003 558140 765460 842006 1116280 1530920 1645739 1684012 2105015 2258107 3291478 3368024 4210030 4516214 6582956 8228695 8420060 9032428 11290535 13165912 16457390 16840120 18064856 18103129 22581070 24839177 32914780 36206258 45162140 49678354 65829560 72412516 90324280 90515645 97098601 99356708 124195885 144825032 181031290 194197202 198713416 248391770 362062580 388394404 485493005 496783540 724125160 776788808 970986010 993567080 1068084611 1941972020 2136169222 3883944040 4272338444 5340423055 8544676888 10680846110 21361692220 42723384440