Search a number
-
+
3335214012144 = 243774811326859
BaseRepresentation
bin110000100010001010001…
…111110001011011110000
3102210211202210120110121020
4300202022033301123300
5414121004241342034
611032102015055440
7462650466230040
oct60421217613360
912724683513536
103335214012144
1110765023a7553
1245a478511580
131b2681004591
14b75d4b33720
155bb53659249
hex3088a3f16f0

3335214012144 has 80 divisors (see below), whose sum is σ = 9848145987840. Its totient is φ = 952790192640.

The previous prime is 3335214012023. The next prime is 3335214012187. The reversal of 3335214012144 is 4412104125333.

It is a super-2 number, since 2×33352140121442 (a number of 26 digits) contains 22 as substring.

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, 1850187 + ... + 3177045.

It is an arithmetic number, because the mean of its divisors is an integer number (123101824848).

Almost surely, 23335214012144 is an apocalyptic number.

It is an amenable number.

3335214012144 is an abundant number, since it is smaller than the sum of its proper divisors (6512931975696).

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

3335214012144 is a wasteful number, since it uses less digits than its factorization.

3335214012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334358 (or 1334352 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 3335214012144 its reverse (4412104125333), we get a palindrome (7747318137477).

The spelling of 3335214012144 in words is "three trillion, three hundred thirty-five billion, two hundred fourteen million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 7481 14962 22443 29924 44886 52367 59848 89772 104734 119696 157101 179544 209468 314202 359088 418936 628404 837872 1256808 1326859 2513616 2653718 3980577 5307436 7961154 9288013 10614872 15922308 18576026 21229744 27864039 31844616 37152052 55728078 63689232 74304104 111456156 148608208 222912312 445824624 9926232179 19852464358 29778696537 39704928716 59557393074 69483625253 79409857432 119114786148 138967250506 158819714864 208450875759 238229572296 277934501012 416901751518 476459144592 555869002024 833803503036 1111738004048 1667607006072 3335214012144