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452014021400 = 235259157243989
BaseRepresentation
bin1101001001111100010…
…00101001101100011000
31121012201122010102120212
412210332020221230120
524401211042141100
6543352525110252
744441220534164
oct6447610515430
91535648112525
10452014021400
11164775149547
127372a6b8388
13338177244b6
1417c4019bca4
15bb57ec0635
hex693e229b18

452014021400 has 96 divisors (see below), whose sum is σ = 1075556718000. Its totient is φ = 176608273920.

The previous prime is 452014021399. The next prime is 452014021409. The reversal of 452014021400 is 4120410254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452014021409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730606 + ... + 1974594.

Almost surely, 2452014021400 is an apocalyptic number.

452014021400 is a gapful number since it is divisible by the number (40) 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 452014021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537778359000).

452014021400 is an abundant number, since it is smaller than the sum of its proper divisors (623542696600).

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

452014021400 is a wasteful number, since it uses less digits than its factorization.

452014021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244221 (or 244212 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 452014021400 its reverse (4120410254), we get a palindrome (456134431654).

The spelling of 452014021400 in words is "four hundred fifty-two billion, fourteen million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 157 200 236 295 314 472 590 628 785 1180 1256 1475 1570 2360 2950 3140 3925 5900 6280 7850 9263 11800 15700 18526 31400 37052 46315 74104 92630 185260 231575 243989 370520 463150 487978 926300 975956 1219945 1852600 1951912 2439890 4879780 6099725 9759560 12199450 14395351 24398900 28790702 38306273 48797800 57581404 71976755 76612546 115162808 143953510 153225092 191531365 287907020 306450184 359883775 383062730 575814040 719767550 766125460 957656825 1439535100 1532250920 1915313650 2260070107 2879070200 3830627300 4520140214 7661254600 9040280428 11300350535 18080560856 22600701070 45201402140 56501752675 90402804280 113003505350 226007010700 452014021400