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1406313053520 = 243533120118803
BaseRepresentation
bin10100011101101110110…
…010100011110101010000
311222102221101010010211220
4110131232302203311100
5141020112120203040
62554015025205040
7203413514502624
oct24355662436520
94872841103756
101406313053520
114a24610688a1
121a8677490780
13a27cb7c10bb
144c0ccc29184
15268ac4d42d0
hex1476eca3d50

1406313053520 has 160 divisors (see below), whose sum is σ = 4375412765184. Its totient is φ = 373655462400.

The previous prime is 1406313053461. The next prime is 1406313053543. The reversal of 1406313053520 is 253503136041.

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, 159749439 + ... + 159758241.

Almost surely, 21406313053520 is an apocalyptic number.

1406313053520 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 1406313053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187706382592).

1406313053520 is an abundant number, since it is smaller than the sum of its proper divisors (2969099711664).

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

1406313053520 is a wasteful number, since it uses less digits than its factorization.

1406313053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 1406313053520 its reverse (253503136041), we get a palindrome (1659816189561).

The spelling of 1406313053520 in words is "one trillion, four hundred six billion, three hundred thirteen million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2011 2648 3310 3972 4022 4965 5296 6033 6620 7944 8044 8803 9930 10055 12066 13240 15888 16088 17606 19860 20110 24132 26409 26480 30165 32176 35212 39720 40220 44015 48264 52818 60330 70424 79440 80440 88030 96528 105636 120660 132045 140848 160880 176060 211272 241320 264090 352120 422544 482640 528180 665641 704240 1056360 1331282 1996923 2112720 2662564 2913793 3328205 3993846 5325128 5827586 6656410 7987692 8741379 9984615 10650256 11655172 13312820 14568965 15975384 17482758 17702833 19969230 23310344 26625640 29137930 31950768 34965516 35405666 39938460 43706895 46620688 53108499 53251280 58275860 69931032 70811332 79876920 87413790 88514165 106216998 116551720 139862064 141622664 159753840 174827580 177028330 212433996 233103440 265542495 283245328 349655160 354056660 424867992 531084990 699310320 708113320 849735984 1062169980 1416226640 2124339960 4248679920 5859637723 11719275446 17578913169 23438550892 29298188615 35157826338 46877101784 58596377230 70315652676 87894565845 93754203568 117192754460 140631305352 175789131690 234385508920 281262610704 351578263380 468771017840 703156526760 1406313053520