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1400111040 = 26356123909
BaseRepresentation
bin101001101110011…
…1111111111000000
310121120120000021110
41103130333333000
510331412023130
6350533123320
746460514246
oct12334777700
93546500243
101400111040
11659365169
12330a89540
131940ba193
14d3d40796
1582db7ab0
hex5373ffc0

1400111040 has 112 divisors (see below), whose sum is σ = 4518416160. Its totient is φ = 367226880.

The previous prime is 1400111029. The next prime is 1400111107. The reversal of 1400111040 is 401110041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46606 + ... + 70514.

Almost surely, 21400111040 is an apocalyptic number.

1400111040 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 1400111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259208080).

1400111040 is an abundant number, since it is smaller than the sum of its proper divisors (3118305120).

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

1400111040 is a wasteful number, since it uses less digits than its factorization.

1400111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23990 (or 23980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1400111040 is about 37418.0576727334. The cubic root of 1400111040 is about 1118.7185173043.

Adding to 1400111040 its reverse (401110041), we get a palindrome (1801221081).

Subtracting from 1400111040 its reverse (401110041), we obtain a palindrome (999000999).

The spelling of 1400111040 in words is "one billion, four hundred million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 23909 29280 47818 58560 71727 95636 119545 143454 191272 239090 286908 358635 382544 478180 573816 717270 765088 956360 1147632 1434540 1458449 1530176 1912720 2295264 2869080 2916898 3825440 4375347 4590528 5738160 5833796 7292245 7650880 8750694 11476320 11667592 14584490 17501388 21876735 22952640 23335184 29168980 35002776 43753470 46670368 58337960 70005552 87506940 93340736 116675920 140011104 175013880 233351840 280022208 350027760 466703680 700055520 1400111040