Search a number
-
+
4051402431132 = 2237229992923929
BaseRepresentation
bin111010111101001010011…
…001110001101010011100
3112100022101012102202101210
4322331022121301222130
51012334233010244012
612341104422304420
7565463346315300
oct72751231615234
915308335382353
104051402431132
111322210063a11
12555232588110
13235079288664
14100136015d00
15705bda2523c
hex3af4a671a9c

4051402431132 has 144 divisors (see below), whose sum is σ = 11377480212000. Its totient is φ = 1117468993536.

The previous prime is 4051402431121. The next prime is 4051402431133. The reversal of 4051402431132 is 2311342041504.

It is a self number, because there is not a number n which added to its sum of digits gives 4051402431132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4051402431133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169297344 + ... + 169321272.

It is an arithmetic number, because the mean of its divisors is an integer number (79010279250).

Almost surely, 24051402431132 is an apocalyptic number.

4051402431132 is a gapful number since it is divisible by the number (42) 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 4051402431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688740106000).

4051402431132 is an abundant number, since it is smaller than the sum of its proper divisors (7326077780868).

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

4051402431132 is a wasteful number, since it uses less digits than its factorization.

4051402431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908 (or 33899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4051402431132 its reverse (2311342041504), we get a palindrome (6362744472636).

The spelling of 4051402431132 in words is "four trillion, fifty-one billion, four hundred two million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 9929 17052 19858 23929 29787 39716 47858 59574 69503 71787 95716 119148 139006 143574 167503 208509 278012 287148 287941 335006 417018 486521 502509 575882 670012 693941 834036 863823 973042 1005018 1151764 1172521 1387882 1459563 1727646 1946084 2010036 2015587 2081823 2345042 2775764 2919126 3455292 3517563 4031174 4163646 4690084 4857587 5838252 6046761 7035126 8062348 8327292 9715174 12093522 14070252 14109109 14572761 19430348 24187044 28218218 29145522 34003109 42327327 56436436 58291044 68006218 84654654 102009327 136012436 169309308 204018654 237591041 408037308 475182082 712773123 950364164 1425546246 1663137287 2851092492 3326274574 4989411861 6652549148 6890140189 9978823722 11641961009 13780280378 19957647444 20670420567 23283922018 27560560756 34925883027 41340841134 46567844036 48230981323 69851766054 82681682268 96461962646 139703532108 144692943969 192923925292 289385887938 337616869261 578771775876 675233738522 1012850607783 1350467477044 2025701215566 4051402431132