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1413001040 = 245114139163
BaseRepresentation
bin101010000111000…
…1010111101010000
310122110210220000212
41110032022331100
510343212013130
6352113303252
750005211363
oct12416127520
93573726025
101413001040
11665669660
12335264b28
131969812b9
14d59380da
15840b1e95
hex5438af50

1413001040 has 80 divisors (see below), whose sum is σ = 3671390016. Its totient is φ = 501273600.

The previous prime is 1413001039. The next prime is 1413001043. The reversal of 1413001040 is 401003141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413001043) 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, 16499 + ... + 55661.

Almost surely, 21413001040 is an apocalyptic number.

1413001040 is a gapful number since it is divisible by the number (10) 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 1413001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835695008).

1413001040 is an abundant number, since it is smaller than the sum of its proper divisors (2258388976).

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

1413001040 is a wasteful number, since it uses less digits than its factorization.

1413001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39228 (or 39222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1413001040 is about 37589.9060919285. The cubic root of 1413001040 is about 1122.1411633697.

Adding to 1413001040 its reverse (401003141), we get a palindrome (1814004181).

The spelling of 1413001040 in words is "one billion, four hundred thirteen million, one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 39163 78326 156652 195815 313304 391630 430793 626608 783260 861586 1566520 1605683 1723172 2153965 3133040 3211366 3446344 4307930 6422732 6892688 8028415 8615860 12845464 16056830 17231720 17662513 25690928 32113660 34463440 35325026 64227320 70650052 88312565 128454640 141300104 176625130 282600208 353250260 706500520 1413001040