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40324111020 = 2232511311711693
BaseRepresentation
bin100101100011100000…
…010001101010101100
310212002020221002020100
4211203200101222230
51130040433023040
630305153351100
72625161200614
oct454340215254
9125066832210
1040324111020
1116112a00496
127994568490
133a58272a2b
141d47659a44
1510b01a9b30
hex963811aac

40324111020 has 144 divisors (see below), whose sum is σ = 123577245792. Its totient is φ = 10642544640.

The previous prime is 40324111019. The next prime is 40324111021. The reversal of 40324111020 is 2011142304.

40324111020 is a `hidden beast` number, since 403 + 241 + 1 + 1 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (40324111019) and next prime (40324111021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40324110984 and 40324111002.

It is not an unprimeable number, because it can be changed into a prime (40324111021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23817294 + ... + 23818986.

It is an arithmetic number, because the mean of its divisors is an integer number (858175318).

Almost surely, 240324111020 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 40324111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61788622896).

40324111020 is an abundant number, since it is smaller than the sum of its proper divisors (83253134772).

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

40324111020 is a wasteful number, since it uses less digits than its factorization.

40324111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40324111020 its reverse (2011142304), we get a palindrome (42335253324).

The spelling of 40324111020 in words is "forty billion, three hundred twenty-four million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1171 1356 1693 1695 2034 2260 2342 3386 3390 3513 4068 4684 5079 5085 5855 6772 6780 7026 8465 10158 10170 10539 11710 14052 15237 16930 17565 20316 20340 21078 23420 25395 30474 33860 35130 42156 50790 52695 60948 70260 76185 101580 105390 132323 152370 191309 210780 264646 304740 382618 396969 529292 573927 661615 765236 793938 956545 1147854 1190907 1323230 1587876 1721781 1913090 1982503 1984845 2295708 2381814 2646460 2869635 3443562 3826180 3965006 3969690 4763628 5739270 5947509 5954535 6887124 7930012 7939380 8608905 9912515 11478540 11895018 11909070 17217810 17842527 19825030 23790036 23818140 29737545 34435620 35685054 39650060 59475090 71370108 89212635 118950180 178425270 224022839 356850540 448045678 672068517 896091356 1120114195 1344137034 2016205551 2240228390 2688274068 3360342585 4032411102 4480456780 6720685170 8064822204 10081027755 13441370340 20162055510 40324111020