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40322244040 = 235133463991
BaseRepresentation
bin100101100011011001…
…001001110111001000
310212002010102020012221
4211203121021313020
51130034443302130
630305045343424
72625136263541
oct454331116710
9125063366187
1040322244040
1116111945831
127993a07b74
133a57a6b000
141d472d14c8
1510aee3b87a
hex963649dc8

40322244040 has 128 divisors (see below), whose sum is σ = 98593689600. Its totient is φ = 14841066240.

The previous prime is 40322244031. The next prime is 40322244043. The reversal of 40322244040 is 4044222304.

It is a junction number, because it is equal to n+sod(n) for n = 40322243996 and 40322244014.

It is not an unprimeable number, because it can be changed into a prime (40322244043) 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, 40687945 + ... + 40688935.

It is an arithmetic number, because the mean of its divisors is an integer number (770263200).

Almost surely, 240322244040 is an apocalyptic number.

40322244040 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 40322244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49296844800).

40322244040 is an abundant number, since it is smaller than the sum of its proper divisors (58271445560).

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

40322244040 is a wasteful number, since it uses less digits than its factorization.

40322244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 40322244040 its reverse (4044222304), we get a palindrome (44366466344).

The spelling of 40322244040 in words is "forty billion, three hundred twenty-two million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 463 520 676 845 926 991 1352 1690 1852 1982 2197 2315 3380 3704 3964 4394 4630 4955 6019 6760 7928 8788 9260 9910 10985 12038 12883 17576 18520 19820 21970 24076 25766 30095 39640 43940 48152 51532 60190 64415 78247 87880 103064 120380 128830 156494 167479 240760 257660 312988 334958 391235 458833 515320 625976 669916 782470 837395 917666 1017211 1339832 1564940 1674790 1835332 2034422 2177227 2294165 3129880 3349580 3670664 4068844 4354454 4588330 5086055 5964829 6699160 8137688 8708908 9176660 10172110 10886135 11929658 17417816 18353320 20344220 21772270 23859316 29824145 40688440 43544540 47718632 59648290 77542777 87089080 119296580 155085554 238593160 310171108 387713885 620342216 775427770 1008056101 1550855540 2016112202 3101711080 4032224404 5040280505 8064448808 10080561010 20161122020 40322244040