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1014431004 = 22321710971511
BaseRepresentation
bin111100011101101…
…111110100011100
32121200211102201200
4330131233310130
54034143243004
6244354435500
734065343536
oct7435576434
92550742650
101014431004
11480690034
12243892b90
13132220842
1498a26856
155e0d2239
hex3c76fd1c

1014431004 has 72 divisors (see below), whose sum is σ = 2719368288. Its totient is φ = 317752320.

The previous prime is 1014430969. The next prime is 1014431009. The reversal of 1014431004 is 4001344101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014431009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 670609 + ... + 672119.

It is an arithmetic number, because the mean of its divisors is an integer number (37769004).

Almost surely, 21014431004 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 1014431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359684144).

1014431004 is an abundant number, since it is smaller than the sum of its proper divisors (1704937284).

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

1014431004 is a wasteful number, since it uses less digits than its factorization.

1014431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014431004 is about 31850.1335005051. The cubic root of 1014431004 is about 1004.7873790941.

Adding to 1014431004 its reverse (4001344101), we get a palindrome (5015775105).

The spelling of 1014431004 in words is "one billion, fourteen million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1097 1511 2194 3022 3291 4388 4533 6044 6582 9066 9873 13164 13599 18132 18649 19746 25687 27198 37298 39492 51374 54396 55947 74596 77061 102748 111894 154122 167841 223788 231183 308244 335682 462366 671364 924732 1657567 3315134 4972701 6630268 9945402 14918103 19890804 28178639 29836206 56357278 59672412 84535917 112714556 169071834 253607751 338143668 507215502 1014431004