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40362353020 = 225111719156503
BaseRepresentation
bin100101100101110010…
…001010000101111100
310212011220212222101201
4211211302022011330
51130130230244040
630313041145244
72626134224413
oct454562120574
9125156788351
1040362353020
1116132550250
1279a532b224
133a63172332
141d4c77247a
1510b3710a9a
hex965c8a17c

40362353020 has 96 divisors (see below), whose sum is σ = 98420023296. Its totient is φ = 13741286400.

The previous prime is 40362352991. The next prime is 40362353023. The reversal of 40362353020 is 2035326304.

It is a super-2 number, since 2×403623530202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40362353020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40362353023) 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, 686089 + ... + 742591.

It is an arithmetic number, because the mean of its divisors is an integer number (1025208576).

Almost surely, 240362353020 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 40362353020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49210011648).

40362353020 is an abundant number, since it is smaller than the sum of its proper divisors (58057670276).

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

40362353020 is a wasteful number, since it uses less digits than its factorization.

40362353020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56731 (or 56729 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 40362353020 its reverse (2035326304), we get a palindrome (42397679324).

The spelling of 40362353020 in words is "forty billion, three hundred sixty-two million, three hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 191 220 340 374 382 748 764 935 955 1870 1910 2101 3247 3740 3820 4202 6494 8404 10505 12988 16235 21010 32470 35717 42020 56503 64940 71434 113006 142868 178585 226012 282515 357170 565030 621533 714340 960551 1130060 1243066 1921102 2486132 3107665 3842204 4802755 6215330 9605510 10566061 10792073 12430660 19211020 21132122 21584146 42264244 43168292 52830305 53960365 105660610 107920730 118712803 183465241 211321220 215841460 237425606 366930482 474851212 593564015 733860964 917326205 1187128030 1834652410 2018117651 2374256060 3669304820 4036235302 8072470604 10090588255 20181176510 40362353020