Search a number
-
+
1401100704 = 253261173461
BaseRepresentation
bin101001110000011…
…0001100110100000
310121122102021211200
41103200301212200
510332140210304
6351010241200
746502105463
oct12340614640
93548367750
101401100704
11659980773
12331286200
13194375793
14d411b2da
1583010e39
hex538319a0

1401100704 has 144 divisors (see below), whose sum is σ = 4081941864. Its totient is φ = 455731200.

The previous prime is 1401100699. The next prime is 1401100711. The reversal of 1401100704 is 4070011041.

It can be written as a sum of positive squares in 4 ways, for example, as 1022720400 + 378380304 = 31980^2 + 19452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3039034 + ... + 3039494.

Almost surely, 21401100704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401100704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040970932).

1401100704 is an abundant number, since it is smaller than the sum of its proper divisors (2680841160).

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

1401100704 is a wasteful number, since it uses less digits than its factorization.

1401100704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1401100704 is about 37431.2797537033. The cubic root of 1401100704 is about 1118.9820427558.

Adding to 1401100704 its reverse (4070011041), we get a palindrome (5471111745).

The spelling of 1401100704 in words is "one billion, four hundred one million, one hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 173 183 244 288 346 366 461 488 519 549 692 732 922 976 1038 1098 1383 1384 1464 1557 1844 1952 2076 2196 2766 2768 2928 3114 3688 4149 4152 4392 5532 5536 5856 6228 7376 8298 8304 8784 10553 11064 12456 14752 16596 16608 17568 21106 22128 24912 28121 31659 33192 42212 44256 49824 56242 63318 66384 79753 84363 84424 94977 112484 126636 132768 159506 168726 168848 189954 224968 239259 253089 253272 319012 337452 337696 379908 449936 478518 506178 506544 638024 674904 717777 759816 899872 957036 1012356 1013088 1276048 1349808 1435554 1519632 1914072 2024712 2552096 2699616 2871108 3039264 3828144 4049424 4864933 5742216 7656288 8098848 9729866 11484432 14594799 19459732 22968864 29189598 38919464 43784397 58379196 77838928 87568794 116758392 155677856 175137588 233516784 350275176 467033568 700550352 1401100704