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1413103440 = 243572336571
BaseRepresentation
bin101010000111010…
…0011111101010000
310122111000002111110
41110032203331100
510343223302230
6352115413320
750006116050
oct12416437520
93574002443
101413103440
11665729591
123352b4240
131969b8aa8
14d5963560
15840d24b0
hex543a3f50

1413103440 has 160 divisors (see below), whose sum is σ = 5224237056. Its totient is φ = 308943360.

The previous prime is 1413103429. The next prime is 1413103441. The reversal of 1413103440 is 443013141.

It is a super-2 number, since 2×14131034402 = 3993722664279667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413103441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20355 + ... + 56925.

Almost surely, 21413103440 is an apocalyptic number.

1413103440 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 1413103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612118528).

1413103440 is an abundant number, since it is smaller than the sum of its proper divisors (3811133616).

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

1413103440 is a wasteful number, since it uses less digits than its factorization.

1413103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36617 (or 36611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1413103440 is about 37591.2681350337. The cubic root of 1413103440 is about 1122.1682698559.

Adding to 1413103440 its reverse (443013141), we get a palindrome (1856116581).

The spelling of 1413103440 in words is "one billion, four hundred thirteen million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 36571 38640 73142 109713 146284 182855 219426 255997 292568 365710 438852 511994 548565 585136 731420 767991 841133 877704 1023988 1097130 1279985 1462840 1535982 1682266 1755408 2047976 2194260 2523399 2559970 2925680 3071964 3364532 3839955 4095952 4205665 4388520 5046798 5119940 5887931 6143928 6729064 7679910 8411330 8777040 10093596 10239880 11775862 12287856 12616995 13458128 15359820 16822660 17663793 20187192 20479760 23551724 25233990 29439655 30719640 33645320 35327586 40374384 47103448 50467980 58879310 61439280 67290640 70655172 88318965 94206896 100935960 117758620 141310344 176637930 201871920 235517240 282620688 353275860 471034480 706551720 1413103440