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2414122140 = 2235192117651
BaseRepresentation
bin1000111111100100…
…1001010010011100
320020020121010000010
42033321021102130
514421003402030
61035315003220
7113552461653
oct21771112234
96206533003
102414122140
111029788771
12574599510
132c61c1851
1418c89819a
15e1e156b0
hex8fe4949c

2414122140 has 48 divisors (see below), whose sum is σ = 7115310720. Its totient is φ = 609883200.

The previous prime is 2414122127. The next prime is 2414122141. The reversal of 2414122140 is 412214142.

2414122140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414122141) 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, 1057686 + ... + 1059965.

It is an arithmetic number, because the mean of its divisors is an integer number (148235640).

Almost surely, 22414122140 is an apocalyptic number.

2414122140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414122140 is an abundant number, since it is smaller than the sum of its proper divisors (4701188580).

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

2414122140 is a wasteful number, since it uses less digits than its factorization.

2414122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117682 (or 2117680 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2414122140 is about 49133.7169365396. The cubic root of 2414122140 is about 1341.4868288890.

Adding to 2414122140 its reverse (412214142), we get a palindrome (2826336282).

The spelling of 2414122140 in words is "two billion, four hundred fourteen million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2117651 4235302 6352953 8470604 10588255 12705906 21176510 25411812 31764765 40235369 42353020 63529530 80470738 120706107 127059060 160941476 201176845 241412214 402353690 482824428 603530535 804707380 1207061070 2414122140