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3141420012240 = 243567429194119
BaseRepresentation
bin101101101101101011001…
…110010101001011010000
3102010022112221222020210020
4231231223032111023100
5402432112010342430
610403052021103440
7442650213345546
oct55555316251320
912108487866706
103141420012240
1110012a5778054
124289b3257b80
1319a308659513
14ac08cd65d96
1556aaee5eb10
hex2db6b3952d0

3141420012240 has 80 divisors (see below), whose sum is σ = 9738596630400. Its totient is φ = 837695264256.

The previous prime is 3141420012229. The next prime is 3141420012251. The reversal of 3141420012240 is 422100241413.

It is an interprime number because it is at equal distance from previous prime (3141420012229) and next prime (3141420012251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3141420012240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16085901 + ... + 16280019.

It is an arithmetic number, because the mean of its divisors is an integer number (121732457880).

Almost surely, 23141420012240 is an apocalyptic number.

3141420012240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3141420012240 is an abundant number, since it is smaller than the sum of its proper divisors (6597176618160).

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

3141420012240 is a wasteful number, since it uses less digits than its factorization.

3141420012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261564 (or 261558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3141420012240 its reverse (422100241413), we get a palindrome (3563520253653).

The spelling of 3141420012240 in words is "three trillion, one hundred forty-one billion, four hundred twenty million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 67429 134858 194119 202287 269716 337145 388238 404574 539432 582357 674290 776476 809148 970595 1011435 1078864 1164714 1348580 1552952 1618296 1941190 2022870 2329428 2697160 2911785 3105904 3236592 3882380 4045740 4658856 5394320 5823570 7764760 8091480 9317712 11647140 15529520 16182960 23294280 46588560 13089250051 26178500102 39267750153 52357000204 65446250255 78535500306 104714000408 130892500510 157071000612 196338750765 209428000816 261785001020 314142001224 392677501530 523570002040 628284002448 785355003060 1047140004080 1570710006120 3141420012240