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1450340112400 = 24527979757587
BaseRepresentation
bin10101000110101111000…
…000011101100000010000
312010122120200210110121021
4111012233000131200100
5142230244032044100
63030135502005224
7206532531356104
oct25065700354020
95118520713537
101450340112400
1150a0a4201873
121b5103b76814
13a69c6c7a42a
14502a8191904
1527ad77d8a1a
hex151af01d810

1450340112400 has 120 divisors (see below), whose sum is σ = 3533037621120. Its totient is φ = 572063930880.

The previous prime is 1450340112373. The next prime is 1450340112401. The reversal of 1450340112400 is 42110430541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1450340112401) 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, 25156407 + ... + 25213993.

It is an arithmetic number, because the mean of its divisors is an integer number (29441980176).

Almost surely, 21450340112400 is an apocalyptic number.

1450340112400 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 1450340112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766518810560).

1450340112400 is an abundant number, since it is smaller than the sum of its proper divisors (2082697508720).

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

1450340112400 is a wasteful number, since it uses less digits than its factorization.

1450340112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58481 (or 58470 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1450340112400 its reverse (42110430541), we get a palindrome (1492450542941).

The spelling of 1450340112400 in words is "one trillion, four hundred fifty billion, three hundred forty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 790 797 1264 1580 1594 1975 3160 3188 3950 3985 6320 6376 7900 7970 12752 15800 15940 19925 31600 31880 39850 57587 62963 63760 79700 115174 125926 159400 230348 251852 287935 314815 318800 460696 503704 575870 629630 921392 1007408 1151740 1259260 1439675 1574075 2303480 2518520 2879350 3148150 4549373 4606960 5037040 5758700 6296300 9098746 11517400 12592600 18197492 22746865 23034800 25185200 36394984 45493730 45896839 72789968 90987460 91793678 113734325 181974920 183587356 227468650 229484195 363949840 367174712 454937300 458968390 734349424 909874600 917936780 1147420975 1819749200 1835873560 2294841950 3625850281 3671747120 4589683900 7251700562 9179367800 14503401124 18129251405 18358735600 29006802248 36258502810 58013604496 72517005620 90646257025 145034011240 181292514050 290068022480 362585028100 725170056200 1450340112400