Search a number
-
+
144104200004000 = 2553112332080187
BaseRepresentation
bin100000110000111111011111…
…101001101110000110100000
3200220020020010110121220010202
4200300333133221232012200
5122342000400200112000
61230252320000444332
742232120261516265
oct4060773751560640
9626206113556122
10144104200004000
1141a092801280a5
12141b44390196a8
136253c771c6322
1427829753c526c
15119d7332b1dd5
hex830fdfa6e1a0

144104200004000 has 96 divisors (see below), whose sum is σ = 354379314534336. Its totient is φ = 57590349907200.

The previous prime is 144104200003931. The next prime is 144104200004053. The reversal of 144104200004000 is 400002401441.

It is a happy number.

144104200004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11548094 + ... + 20532093.

It is an arithmetic number, because the mean of its divisors is an integer number (3691451193066).

Almost surely, 2144104200004000 is an apocalyptic number.

144104200004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144104200004000 is an abundant number, since it is smaller than the sum of its proper divisors (210275114530336).

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

144104200004000 is a wasteful number, since it uses less digits than its factorization.

144104200004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32081335 (or 32081317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 144104200004000 its reverse (400002401441), we get a palindrome (144504202405441).

The spelling of 144104200004000 in words is "one hundred forty-four trillion, one hundred four billion, two hundred million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1123 2000 2246 4000 4492 5615 8984 11230 17968 22460 28075 35936 44920 56150 89840 112300 140375 179680 224600 280750 449200 561500 898400 1123000 2246000 4492000 32080187 64160374 128320748 160400935 256641496 320801870 513282992 641603740 802004675 1026565984 1283207480 1604009350 2566414960 3208018700 4010023375 5132829920 6416037400 8020046750 12832074800 16040093500 25664149600 32080187000 36026050001 64160374000 72052100002 128320748000 144104200004 180130250005 288208400008 360260500010 576416800016 720521000020 900651250025 1152833600032 1441042000040 1801302500050 2882084000080 3602605000100 4503256250125 5764168000160 7205210000200 9006512500250 14410420000400 18013025000500 28820840000800 36026050001000 72052100002000 144104200004000