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1018418044 = 227373372917
BaseRepresentation
bin111100101100111…
…101001101111100
32121222022222220211
4330230331031330
54041203334134
6245020122204
734144260550
oct7454751574
92558288824
101018418044
11482963606
12245096364
13132cb8537
1499383860
155e61d764
hex3cb3d37c

1018418044 has 48 divisors (see below), whose sum is σ = 2098812352. Its totient is φ = 423263232.

The previous prime is 1018418017. The next prime is 1018418053. The reversal of 1018418044 is 4408148101.

It is a junction number, because it is equal to n+sod(n) for n = 1018417997 and 1018418015.

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, 347674 + ... + 350590.

Almost surely, 21018418044 is an apocalyptic number.

1018418044 is a gapful number since it is divisible by the number (14) 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 1018418044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049406176).

1018418044 is an abundant number, since it is smaller than the sum of its proper divisors (1080394308).

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

1018418044 is a wasteful number, since it uses less digits than its factorization.

1018418044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1018418044 is about 31912.6627532082. The cubic root of 1018418044 is about 1006.1020374034.

The spelling of 1018418044 in words is "one billion, eighteen million, four hundred eighteen thousand, forty-four".

Divisors: 1 2 4 7 14 28 37 74 148 259 337 518 674 1036 1348 2359 2917 4718 5834 9436 11668 12469 20419 24938 40838 49876 81676 87283 107929 174566 215858 349132 431716 755503 983029 1511006 1966058 3022012 3932116 6881203 13762406 27524812 36372073 72744146 145488292 254604511 509209022 1018418044