Search a number
-
+
3034020131142 = 23711133671376471
BaseRepresentation
bin101100001001101001101…
…100010011000101000110
3101202001100002011000000020
4230021221230103011012
5344202133123144032
610241450513000010
7432125563412640
oct54115154230506
911661302130006
103034020131142
11a6a7a22a3840
1241001b253006
13190150a44710
14a6bc1215890
1553dc626cb2c
hex2c269b13146

3034020131142 has 128 divisors (see below), whose sum is σ = 8169504473088. Its totient is φ = 725454748800.

The previous prime is 3034020131119. The next prime is 3034020131161. The reversal of 3034020131142 is 2411310204303.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515967 + ... + 2892437.

It is an arithmetic number, because the mean of its divisors is an integer number (63824253696).

Almost surely, 23034020131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3034020131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084752236544).

3034020131142 is an abundant number, since it is smaller than the sum of its proper divisors (5135484341946).

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

3034020131142 is a wasteful number, since it uses less digits than its factorization.

3034020131142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376874.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3034020131142 its reverse (2411310204303), we get a palindrome (5445330335445).

The spelling of 3034020131142 in words is "three trillion, thirty-four billion, twenty million, one hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 367 429 462 546 734 858 1001 1101 2002 2202 2569 3003 4037 4771 5138 6006 7707 8074 9542 12111 14313 15414 24222 28259 28626 33397 52481 56518 66794 84777 100191 104962 157443 169554 200382 314886 367367 734734 1102101 1376471 2204202 2752942 4129413 8258826 9635297 15141181 17894123 19270594 28905891 30282362 35788246 45423543 53682369 57811782 90847086 105988267 107364738 125258861 196835353 211976534 250517722 317964801 375776583 393670706 505164857 590506059 635929602 751553166 1010329714 1181012118 1377847471 1515494571 2755694942 3030989142 3536153999 4133542413 5556813427 6567143141 7072307998 8267084826 10608461997 11113626854 13134286282 16670440281 19701429423 21216923994 33340880562 38897693989 39402858846 45970001987 72238574551 77795387978 91940003974 116693081967 137910005961 144477149102 216715723653 233386163934 275820011922 433431447306 505670021857 1011340043714 1517010065571 3034020131142