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1413504440 = 235176133391
BaseRepresentation
bin101010001000000…
…0101110110111000
310122111202110120022
41110100011312320
510343324120230
6352132150012
750012406125
oct12420056670
93574673508
101413504440
11665982897
12335468308
13196ac947a
14d5a2974c
15841611e5
hex54405db8

1413504440 has 64 divisors (see below), whose sum is σ = 3373954560. Its totient is φ = 531118080.

The previous prime is 1413504439. The next prime is 1413504493. The reversal of 1413504440 is 444053141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415145 + ... + 418535.

It is an arithmetic number, because the mean of its divisors is an integer number (52718040).

Almost surely, 21413504440 is an apocalyptic number.

1413504440 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 1413504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686977280).

1413504440 is an abundant number, since it is smaller than the sum of its proper divisors (1960450120).

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

1413504440 is a wasteful number, since it uses less digits than its factorization.

1413504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1413504440 is about 37596.6014421517. The cubic root of 1413504440 is about 1122.2744066763.

Adding to 1413504440 its reverse (444053141), we get a palindrome (1857557581).

The spelling of 1413504440 in words is "one billion, four hundred thirteen million, five hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 613 680 1226 2452 3065 3391 4904 6130 6782 10421 12260 13564 16955 20842 24520 27128 33910 41684 52105 57647 67820 83368 104210 115294 135640 208420 230588 288235 416840 461176 576470 1152940 2078683 2305880 4157366 8314732 10393415 16629464 20786830 35337611 41573660 70675222 83147320 141350444 176688055 282700888 353376110 706752220 1413504440