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41324410001400 = 23352505113635719
BaseRepresentation
bin10010110010101100101101…
…10001110101011111111000
312102022120112012000000102120
421121112112301311133320
520404024342430021100
6223520101043001240
711463406255234101
oct1131262661653770
9172276465000376
1041324410001400
1112192647136639
124774b45369220
131a09b4b8c1bc6
14a2c17d9093a8
154b9e21b200a0
hex259596c757f8

41324410001400 has 96 divisors (see below), whose sum is σ = 128131042838400. Its totient is φ = 11017660144000.

The previous prime is 41324410001353. The next prime is 41324410001423. The reversal of 41324410001400 is 410001442314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3787260 + ... + 9848459.

It is an arithmetic number, because the mean of its divisors is an integer number (1334698362900).

Almost surely, 241324410001400 is an apocalyptic number.

41324410001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41324410001400 is an abundant number, since it is smaller than the sum of its proper divisors (86806632837000).

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

41324410001400 is a wasteful number, since it uses less digits than its factorization.

41324410001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13640789 (or 13640780 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41324410001400 its reverse (410001442314), we get a palindrome (41734411443714).

The spelling of 41324410001400 in words is "forty-one trillion, three hundred twenty-four billion, four hundred ten million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5051 10102 15153 20204 25255 30306 40408 50510 60612 75765 101020 121224 126275 151530 202040 252550 303060 378825 505100 606120 757650 1010200 1515300 3030600 13635719 27271438 40907157 54542876 68178595 81814314 109085752 136357190 163628628 204535785 272714380 327257256 340892975 409071570 545428760 681785950 818143140 1022678925 1363571900 1636286280 2045357850 2727143800 4090715700 8181431400 68874016669 137748033338 206622050007 275496066676 344370083345 413244100014 550992133352 688740166690 826488200028 1033110250035 1377480333380 1652976400056 1721850416725 2066220500070 2754960666760 3443700833450 4132441000140 5165551250175 6887401666900 8264882000280 10331102500350 13774803333800 20662205000700 41324410001400