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43424376044 = 22721931509739
BaseRepresentation
bin101000011100010010…
…110110010011101100
311011002022121212022212
4220130102312103230
51202413120013134
631540543025552
73065045051300
oct503422662354
9134068555285
1043424376044
1117463a23495
1284ba89b2b8
13413066158a
14215d2c1d00
1511e2456bce
hexa1c4b64ec

43424376044 has 144 divisors (see below), whose sum is σ = 96372864000. Its totient is φ = 17005645440.

The previous prime is 43424376001. The next prime is 43424376049. The reversal of 43424376044 is 44067342434.

It is a junction number, because it is equal to n+sod(n) for n = 43424375992 and 43424376010.

It is not an unprimeable number, because it can be changed into a prime (43424376049) 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 47 ways as a sum of consecutive naturals, for example, 58760627 + ... + 58761365.

It is an arithmetic number, because the mean of its divisors is an integer number (669256000).

Almost surely, 243424376044 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 43424376044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48186432000).

43424376044 is an abundant number, since it is smaller than the sum of its proper divisors (52948487956).

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

43424376044 is a wasteful number, since it uses less digits than its factorization.

43424376044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 41.

The spelling of 43424376044 in words is "forty-three billion, four hundred twenty-four million, three hundred seventy-six thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 434 509 532 589 739 868 931 1018 1178 1478 1519 1862 2036 2356 2956 3038 3563 3724 4123 5173 6076 7126 8246 9671 10346 14041 14252 15779 16492 19342 20692 22909 24941 28082 28861 31558 36211 38684 45818 49882 56164 57722 63116 67697 72422 91636 98287 99764 110453 115444 135394 144844 160363 196574 220906 270788 299801 320726 376151 393148 435271 441812 473879 599602 641452 688009 752302 773171 870542 947758 1122541 1199204 1376018 1504604 1546342 1741084 1895516 2098607 2245082 2633057 2752036 3046897 3092684 4197214 4490164 5266114 6093794 7146869 8394428 10532228 11660681 12187588 14293738 14690249 18431399 21328279 23321362 28587476 29380498 36862798 42656558 46642724 50028083 58760996 73725596 81624767 85313116 100056166 163249534 200112332 221552939 326499068 350196581 443105878 571373369 700393162 886211756 1142746738 1400786324 1550870573 2285493476 3101741146 6203482292 10856094011 21712188022 43424376044