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1214143040 = 26511231357
BaseRepresentation
bin100100001011110…
…0101101001000000
310010121121212010202
41020113211221000
54441310034130
6320251144332
742042021425
oct11027455100
93117555122
101214143040
11573396700
1229a7450a8
13164706a46
14b7371d4c
15718d1145
hex485e5a40

1214143040 has 84 divisors (see below), whose sum is σ = 3178007868. Its totient is φ = 441492480.

The previous prime is 1214143033. The next prime is 1214143061. The reversal of 1214143040 is 403414121.

It can be written as a sum of positive squares in 2 ways, for example, as 678498304 + 535644736 = 26048^2 + 23144^2 .

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 11 ways as a sum of consecutive naturals, for example, 23042 + ... + 54398.

It is an arithmetic number, because the mean of its divisors is an integer number (37833427).

Almost surely, 21214143040 is an apocalyptic number.

1214143040 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 1214143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589003934).

1214143040 is an abundant number, since it is smaller than the sum of its proper divisors (1963864828).

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

1214143040 is a wasteful number, since it uses less digits than its factorization.

1214143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31396 (or 31375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1214143040 is about 34844.5553853109. Note that the first 3 decimals coincide. The cubic root of 1214143040 is about 1066.8170586560.

Adding to 1214143040 its reverse (403414121), we get a palindrome (1617557161).

The spelling of 1214143040 in words is "one billion, two hundred fourteen million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 31357 38720 62714 125428 156785 250856 313570 344927 501712 627140 689854 1003424 1254280 1379708 1724635 2006848 2508560 2759416 3449270 3794197 5017120 5518832 6898540 7588394 10034240 11037664 13797080 15176788 18970985 22075328 27594160 30353576 37941970 55188320 60707152 75883940 110376640 121414304 151767880 242828608 303535760 607071520 1214143040