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1407144324 = 2232330716607
BaseRepresentation
bin101001111011111…
…0101000110000100
310122001210100010110
41103313311012010
510340212104244
6351343553020
746604346405
oct12367650604
93561710113
101407144324
116623293a3
123332bb770
131956b05a1
14d4c519ac
15838069b9
hex53df5184

1407144324 has 48 divisors (see below), whose sum is σ = 3437457408. Its totient is φ = 447166368.

The previous prime is 1407144283. The next prime is 1407144359. The reversal of 1407144324 is 4234417041.

It is a junction number, because it is equal to n+sod(n) for n = 1407144291 and 1407144300.

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, 76429 + ... + 93035.

It is an arithmetic number, because the mean of its divisors is an integer number (71613696).

Almost surely, 21407144324 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 1407144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718728704).

1407144324 is an abundant number, since it is smaller than the sum of its proper divisors (2030313084).

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

1407144324 is a wasteful number, since it uses less digits than its factorization.

1407144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16944 (or 16942 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1407144324 is about 37511.9224247438. The cubic root of 1407144324 is about 1120.5886372175.

The spelling of 1407144324 in words is "one billion, four hundred seven million, one hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 307 614 921 1228 1842 3684 7061 14122 16607 21183 28244 33214 42366 49821 66428 84732 99642 199284 381961 763922 1145883 1527844 2291766 4583532 5098349 10196698 15295047 20393396 30590094 61180188 117262027 234524054 351786081 469048108 703572162 1407144324