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1403144321320 = 235723440949417
BaseRepresentation
bin10100011010110001111…
…010110011100100101000
311222010202112120212110001
4110122301322303210220
5140442114421240240
62552332352232344
7203242136641420
oct24326172634450
94863675525401
101403144321320
114a1085431455
121a7b3223b6b4
13a241517c631
144bcac05d480
152677421089a
hex146b1eb3928

1403144321320 has 128 divisors (see below), whose sum is σ = 3765888806400. Its totient is φ = 460047937536.

The previous prime is 1403144321291. The next prime is 1403144321323. The reversal of 1403144321320 is 231234413041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1403144321323) 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, 28369252 + ... + 28418668.

It is an arithmetic number, because the mean of its divisors is an integer number (29421006300).

Almost surely, 21403144321320 is an apocalyptic number.

1403144321320 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 1403144321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882944403200).

1403144321320 is an abundant number, since it is smaller than the sum of its proper divisors (2362744485080).

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

1403144321320 is a wasteful number, since it uses less digits than its factorization.

1403144321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53867 (or 53863 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1403144321320 its reverse (231234413041), we get a palindrome (1634378734361).

The spelling of 1403144321320 in words is "one trillion, four hundred three billion, one hundred forty-four million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 4409 6440 8818 17636 22045 30863 35272 44090 49417 61726 88180 98834 101407 123452 154315 176360 197668 202814 246904 247085 308630 345919 395336 405628 494170 507035 617260 691838 709849 811256 988340 1014070 1136591 1234520 1383676 1419698 1729595 1976680 2028140 2273182 2767352 2839396 3459190 3549245 4056280 4546364 5678792 5682955 6918380 7098490 7956137 9092728 11365910 13836760 14196980 15912274 22731820 28393960 31824548 39780685 45463640 63649096 79561370 159122740 217879553 318245480 435759106 871518212 1089397765 1525156871 1743036424 2178795530 3050313742 4357591060 5011229719 6100627484 7625784355 8715182120 10022459438 12201254968 15251568710 20044918876 25056148595 30503137420 35078608033 40089837752 50112297190 61006274840 70157216066 100224594380 140314432132 175393040165 200449188760 280628864264 350786080330 701572160660 1403144321320