Search a number
-
+
1404434031 = 372111371941
BaseRepresentation
bin101001110110101…
…1111011001101111
310121212200122022020
41103231133121233
510334013342111
6351205521223
746542330600
oct12355373157
93555618266
101404434031
11660848090
12332413213
13194c71a70
14d4747da7
158346d906
hex53b5f66f

1404434031 has 96 divisors (see below), whose sum is σ = 2597930496. Its totient is φ = 663264000.

The previous prime is 1404433999. The next prime is 1404434033. The reversal of 1404434031 is 1304344041.

It is not a de Polignac number, because 1404434031 - 25 = 1404433999 is a prime.

It is a super-2 number, since 2×14044340312 = 3944869894861817922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1404433992 and 1404434010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404434033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492021 + ... + 1492961.

It is an arithmetic number, because the mean of its divisors is an integer number (27061776).

Almost surely, 21404434031 is an apocalyptic number.

1404434031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1404434031 is a deficient number, since it is larger than the sum of its proper divisors (1193496465).

1404434031 is a wasteful number, since it uses less digits than its factorization.

1404434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1404434031 is about 37475.7792580755. The cubic root of 1404434031 is about 1119.8687215922.

Adding to 1404434031 its reverse (1304344041), we get a palindrome (2708778072).

The spelling of 1404434031 in words is "one billion, four hundred four million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 49 71 77 91 143 147 213 231 273 429 497 539 637 781 923 941 1001 1491 1617 1911 2343 2769 2823 3003 3479 5467 6461 6587 7007 10153 10351 10437 12233 16401 19383 19761 21021 30459 31053 36699 38269 45227 46109 66811 71071 72457 85631 114807 134563 135681 138327 200433 213213 217371 256893 403689 467677 497497 507199 599417 734921 868543 941941 1403031 1492491 1521597 1798251 2204763 2605629 2825823 3273739 5144447 6079801 6593587 9553973 9821217 15433341 18239403 19780761 28661919 36011129 42558607 66877811 108033387 127675821 200633433 468144677 1404434031