Search a number
-
+
3402138504555 = 3257367160718313
BaseRepresentation
bin110001100000011111010…
…000011100110101101011
3110001020111212210221012100
4301200133100130311223
5421220034424121210
611122530523144443
7500540110101210
oct61403720346553
913036455727170
103402138504555
1110a192554620a
1246b435375123
131b8a8821b04b
14ba9430c9b07
155d76dc5d5c0
hex3181f41cd6b

3402138504555 has 96 divisors (see below), whose sum is σ = 6762412560384. Its totient is φ = 1549975730688.

The previous prime is 3402138504551. The next prime is 3402138504593. The reversal of 3402138504555 is 5554058312043.

It is a happy number.

3402138504555 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 13 + 85 + 0 + 4 + 555 = 666.

3402138504555 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3402138504555 - 22 = 3402138504551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3402138504555.

It is not an unprimeable number, because it can be changed into a prime (3402138504551) 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, 185768079 + ... + 185786391.

It is an arithmetic number, because the mean of its divisors is an integer number (70441797504).

Almost surely, 23402138504555 is an apocalyptic number.

3402138504555 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3402138504555 is a deficient number, since it is larger than the sum of its proper divisors (3360274055829).

3402138504555 is a wasteful number, since it uses less digits than its factorization.

3402138504555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20305 (or 20302 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 3402138504555 in words is "three trillion, four hundred two billion, one hundred thirty-eight million, five hundred four thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 367 1101 1607 1835 2569 3303 4821 5505 7707 8035 11249 12845 14463 16515 18313 23121 24105 33747 38535 54939 56245 72315 91565 101241 115605 128191 164817 168735 274695 384573 506205 589769 640955 824085 1153719 1769307 1922865 2948845 4128383 5307921 5768595 6720871 8846535 12385149 20162613 20641915 26539605 29428991 33604355 37155447 47046097 60487839 61925745 88286973 100813065 141138291 147144955 185777235 206002937 235230485 264860919 302439195 423414873 441434865 618008811 705691455 1030014685 1324304595 1854026433 2117074365 3090044055 9270132165 10800439697 32401319091 54002198485 75603077879 97203957273 162006595455 226809233637 378015389395 486019786365 680427700911 1134046168185 3402138504555