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1403314000 = 245311227281
BaseRepresentation
bin101001110100100…
…1101111101010000
310121210120201220121
41103221031331100
510333222022000
6351125520024
746526654314
oct12351157520
93553521817
101403314000
11660152640
12331b73014
1319496c01a
14d4535b44
15832ebb1a
hex53a4df50

1403314000 has 160 divisors (see below), whose sum is σ = 3731225472. Its totient is φ = 506240000.

The previous prime is 1403313959. The next prime is 1403314049. The reversal of 1403314000 is 4133041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993860 + ... + 4994140.

Almost surely, 21403314000 is an apocalyptic number.

1403314000 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 1403314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865612736).

1403314000 is an abundant number, since it is smaller than the sum of its proper divisors (2327911472).

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

1403314000 is a wasteful number, since it uses less digits than its factorization.

1403314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1403314000 is about 37460.8328791553. The cubic root of 1403314000 is about 1119.5709453507.

Adding to 1403314000 its reverse (4133041), we get a palindrome (1407447041).

The spelling of 1403314000 in words is "one billion, four hundred three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 227 250 275 281 400 440 454 500 550 562 880 908 1000 1100 1124 1135 1375 1405 1816 2000 2200 2248 2270 2497 2750 2810 3091 3632 4400 4496 4540 4994 5500 5620 5675 6182 7025 9080 9988 11000 11240 11350 12364 12485 14050 15455 18160 19976 22000 22480 22700 24728 24970 28100 28375 30910 35125 39952 45400 49456 49940 56200 56750 61820 62425 63787 70250 77275 90800 99880 112400 113500 123640 124850 127574 140500 154550 199760 227000 247280 249700 255148 281000 309100 312125 318935 386375 454000 499400 510296 562000 618200 624250 637870 701657 772750 998800 1020592 1236400 1248500 1275740 1403314 1545500 1594675 2497000 2551480 2806628 3091000 3189350 3508285 4994000 5102960 5613256 6182000 6378700 7016570 7973375 11226512 12757400 14033140 15946750 17541425 25514800 28066280 31893500 35082850 56132560 63787000 70165700 87707125 127574000 140331400 175414250 280662800 350828500 701657000 1403314000