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42332011040 = 25511211311383
BaseRepresentation
bin100111011011001011…
…110011101000100000
311001021012010222020202
4213123023303220200
51143143443323130
631240321524332
73026012104544
oct473313635040
9131235128222
1042332011040
1116a533534a0
128254aa36a8
133cb8254b57
1420981ada24
15117b5cd145
hex9db2f3a20

42332011040 has 96 divisors (see below), whose sum is σ = 109162359936. Its totient is φ = 15384821760.

The previous prime is 42332011031. The next prime is 42332011069. The reversal of 42332011040 is 4011023324.

42332011040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3713189 + ... + 3724571.

It is an arithmetic number, because the mean of its divisors is an integer number (1137107916).

Almost surely, 242332011040 is an apocalyptic number.

42332011040 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 42332011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54581179968).

42332011040 is an abundant number, since it is smaller than the sum of its proper divisors (66830348896).

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

42332011040 is a wasteful number, since it uses less digits than its factorization.

42332011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13522 (or 13514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42332011040 its reverse (4011023324), we get a palindrome (46343034364).

The spelling of 42332011040 in words is "forty-two billion, three hundred thirty-two million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2113 4226 8452 10565 11383 16904 21130 22766 23243 33808 42260 45532 46486 56915 67616 84520 91064 92972 113830 116215 125213 169040 182128 185944 227660 232430 250426 338080 364256 371888 455320 464860 500852 626065 743776 910640 929720 1001704 1252130 1821280 1859440 2003408 2504260 3718880 4006816 5008520 10017040 20034080 24052279 48104558 96209116 120261395 192418232 240522790 264575069 384836464 481045580 529150138 769672928 962091160 1058300276 1322875345 1924182320 2116600552 2645750690 3848364640 4233201104 5291501380 8466402208 10583002760 21166005520 42332011040