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240402022420 = 22574993441197
BaseRepresentation
bin1101111111100100010…
…0111100000000010100
3211222112000211002002011
43133321010330000110
512414320404204140
6302234505354004
723240246321560
oct3377104740024
9758460732064
10240402022420
1192a5474667a
123a712198904
1319892770711
14b8c7c1c6a0
1563c03bdcea
hex37f913c014

240402022420 has 48 divisors (see below), whose sum is σ = 578121264000. Its totient is φ = 82258349184.

The previous prime is 240402022313. The next prime is 240402022423. The reversal of 240402022420 is 24220204042.

It is a happy number.

240402022420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240402022391 and 240402022400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240402022423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650739 + ... + 1790458.

It is an arithmetic number, because the mean of its divisors is an integer number (12044193000).

Almost surely, 2240402022420 is an apocalyptic number.

240402022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240402022420 is an abundant number, since it is smaller than the sum of its proper divisors (337719241580).

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

240402022420 is a wasteful number, since it uses less digits than its factorization.

240402022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441712 (or 3441710 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 240402022420 its reverse (24220204042), we get a palindrome (264622226462).

The spelling of 240402022420 in words is "two hundred forty billion, four hundred two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 499 998 1996 2495 3493 4990 6986 9980 13972 17465 34930 69860 3441197 6882394 13764788 17205985 24088379 34411970 48176758 68823940 96353516 120441895 240883790 481767580 1717157303 3434314606 6868629212 8585786515 12020101121 17171573030 24040202242 34343146060 48080404484 60100505605 120201011210 240402022420