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240144012420 = 223513307876939
BaseRepresentation
bin1101111110100110110…
…0101101010010000100
3211221212001022210220020
43133221230231102010
512413303331344140
6302153131335140
723230664266044
oct3375154552204
9757761283806
10240144012420
1192932041974
123a65b8b14b0
1319851185190
14b8a1859724
1563a79066d0
hex37e9b2d484

240144012420 has 48 divisors (see below), whose sum is σ = 724126562880. Its totient is φ = 59112372096.

The previous prime is 240144012403. The next prime is 240144012439. The reversal of 240144012420 is 24210441042.

It is a super-2 number, since 2×2401440124202 (a number of 24 digits) contains 22 as substring.

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, 153937690 + ... + 153939249.

It is an arithmetic number, because the mean of its divisors is an integer number (15085970060).

Almost surely, 2240144012420 is an apocalyptic number.

240144012420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240144012420 is an abundant number, since it is smaller than the sum of its proper divisors (483982550460).

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

240144012420 is a wasteful number, since it uses less digits than its factorization.

240144012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307876964 (or 307876962 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 240144012420 its reverse (24210441042), we get a palindrome (264354453462).

The spelling of 240144012420 in words is "two hundred forty billion, one hundred forty-four million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 307876939 615753878 923630817 1231507756 1539384695 1847261634 3078769390 3694523268 4002400207 4618154085 6157538780 8004800414 9236308170 12007200621 16009600828 18472616340 20012001035 24014401242 40024002070 48028802484 60036003105 80048004140 120072006210 240144012420