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40301393392 = 241319103181547
BaseRepresentation
bin100101100010001001…
…100111010111110000
310212000200011220111201
4211202021213113300
51130014124042032
630303022420544
72624464122511
oct454211472760
9125020156451
1040301393392
11161010a4397
127988a31754
133a5364a650
141d44624a08
1510ad1bd8e7
hex9622675f0

40301393392 has 160 divisors (see below), whose sum is σ = 90033681920. Its totient is φ = 17322439680.

The previous prime is 40301393381. The next prime is 40301393393. The reversal of 40301393392 is 29339310304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40301393393) 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, 73676863 + ... + 73677409.

It is an arithmetic number, because the mean of its divisors is an integer number (562710512).

Almost surely, 240301393392 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 40301393392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45016840960).

40301393392 is an abundant number, since it is smaller than the sum of its proper divisors (49732288528).

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

40301393392 is a wasteful number, since it uses less digits than its factorization.

40301393392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 40301393392 in words is "forty billion, three hundred one million, three hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 103 104 152 181 206 208 247 304 362 412 494 547 724 824 988 1094 1339 1448 1648 1957 1976 2188 2353 2678 2896 3439 3914 3952 4376 4706 5356 6878 7111 7828 8752 9412 10393 10712 13756 14222 15656 18643 18824 20786 21424 25441 27512 28444 31312 37286 37648 41572 44707 50882 55024 56341 56888 74572 83144 89414 99007 101764 112682 113776 135109 149144 166288 178828 198014 203528 225364 242359 270218 298288 354217 357656 396028 407056 450728 484718 540436 708434 715312 732433 792056 901456 969436 1070479 1080872 1287091 1416868 1464866 1584112 1881133 1938872 2140958 2161744 2574182 2833736 2929732 3762266 3877744 4281916 4604821 5148364 5667472 5859464 7524532 8563832 9209642 10197721 10296728 11718928 13916227 15049064 17127664 18419284 20395442 20593456 24454729 27832454 30098128 36838568 40790884 48909458 55664908 73677136 81581768 97818916 111329816 132570373 163163536 193756699 195637832 222659632 265140746 387513398 391275664 530281492 775026796 1060562984 1550053592 2121125968 2518837087 3100107184 5037674174 10075348348 20150696696 40301393392