Search a number
-
+
10044543334400 = 21152491399557
BaseRepresentation
bin1001001000101010110101…
…1011111111100000000000
31022120020201111101002110022
42102022231123333200000
52304032211043200100
633210222143153012
72054460101422061
oct222125533774000
938506644332408
1010044543334400
113222959940483
1211628492a5768
1357b272577a23
1426a230c86568
15126435727e85
hex922ad6ff800

10044543334400 has 144 divisors (see below), whose sum is σ = 24955170032520. Its totient is φ = 4009624371200.

The previous prime is 10044543334391. The next prime is 10044543334421. The reversal of 10044543334400 is 443334544001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24939422 + ... + 25338978.

Almost surely, 210044543334400 is an apocalyptic number.

10044543334400 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 10044543334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477585016260).

10044543334400 is an abundant number, since it is smaller than the sum of its proper divisors (14910626698120).

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

10044543334400 is an equidigital number, since it uses as much as digits as its factorization.

10044543334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400080 (or 400055 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 10044543334400 its reverse (443334544001), we get a palindrome (10487877878401).

The spelling of 10044543334400 in words is "ten trillion, forty-four billion, five hundred forty-three million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 491 512 640 800 982 1024 1280 1600 1964 2048 2455 2560 3200 3928 4910 5120 6400 7856 9820 10240 12275 12800 15712 19640 24550 25600 31424 39280 49100 51200 62848 78560 98200 125696 157120 196400 251392 314240 392800 399557 502784 628480 785600 799114 1005568 1256960 1571200 1598228 1997785 2513920 3142400 3196456 3995570 5027840 6284800 6392912 7991140 9988925 12569600 12785824 15982280 19977850 25139200 25571648 31964560 39955700 51143296 63929120 79911400 102286592 127858240 159822800 196182487 204573184 255716480 319645600 392364974 409146368 511432960 639291200 784729948 818292736 980912435 1022865920 1278582400 1569459896 1961824870 2045731840 2557164800 3138919792 3923649740 4091463680 4904562175 5114329600 6277839584 7847299480 9809124350 10228659200 12555679168 15694598960 19618248700 20457318400 25111358336 31389197920 39236497400 50222716672 62778395840 78472994800 100445433344 125556791680 156945989600 200890866688 251113583360 313891979200 401781733376 502227166720 627783958400 1004454333440 1255567916800 2008908666880 2511135833600 5022271667200 10044543334400