Search a number
-
+
14077034677770 = 2352310321923037
BaseRepresentation
bin1100110011011001000010…
…1001101100011000001010
31211211202021202021001101020
43030312100221230120022
53321114231334142040
645534522255333310
72652014020326621
oct314662051543012
954752252231336
1014077034677770
1145380450a7239
1216b4282521236
137b15c692670c
1436949146a6b8
15196298dc7cd0
hexccd90a6c60a

14077034677770 has 96 divisors (see below), whose sum is σ = 35599402530432. Its totient is φ = 3555801254016.

The previous prime is 14077034677759. The next prime is 14077034677777. The reversal of 14077034677770 is 7777643077041.

It is not an unprimeable number, because it can be changed into a prime (14077034677777) 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 47 ways as a sum of consecutive naturals, for example, 6358692 + ... + 8281728.

It is an arithmetic number, because the mean of its divisors is an integer number (370827109692).

Almost surely, 214077034677770 is an apocalyptic number.

14077034677770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14077034677770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799701265216).

14077034677770 is an abundant number, since it is smaller than the sum of its proper divisors (21522367852662).

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

14077034677770 is a wasteful number, since it uses less digits than its factorization.

14077034677770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923276 (or 1923173 counting only the distinct ones).

The product of its (nonzero) digits is 33882912, while the sum is 60.

The spelling of 14077034677770 in words is "fourteen trillion, seventy-seven billion, thirty-four million, six hundred seventy-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 103 115 138 206 230 309 345 515 618 690 1030 1545 2369 3090 4738 7107 10609 11845 14214 21218 23690 31827 35535 53045 63654 71070 106090 159135 244007 318270 488014 732021 1220035 1464042 1923037 2440070 3660105 3846074 5769111 7320210 9615185 11538222 19230370 28845555 44229851 57691110 88459702 132689553 198072811 221149255 265379106 396145622 442298510 594218433 663447765 990364055 1188436866 1326895530 1980728110 2971092165 4555674653 5942184330 9111349306 13667023959 20401499533 22778373265 27334047918 40802999066 45556746530 61204498599 68335119795 102007497665 122408997198 136670239590 204014995330 306022492995 469234489259 612044985990 938468978518 1407703467777 2346172446295 2815406935554 4692344892590 7038517338885 14077034677770