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12046242751440 = 2435193325966207
BaseRepresentation
bin1010111101001011110000…
…0001010010001111010000
31120122121110100222021100020
42233102330001102033100
53034331201121021230
641341544552423440
72352212060633562
oct257227401221720
946577410867306
1012046242751440
113924867a96457
1214267863a7b80
13694c56c131c1
142d9081309332
1515d53c9e1810
hexaf4bc0523d0

12046242751440 has 80 divisors (see below), whose sum is σ = 37362672826368. Its totient is φ = 3210669439488.

The previous prime is 12046242751421. The next prime is 12046242751441. The reversal of 12046242751440 is 4415724264021.

It is a happy number.

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

It is a super-2 number, since 2×120462427514402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12046242751392 and 12046242751401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12046242751441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12519184 + ... + 13447023.

Almost surely, 212046242751440 is an apocalyptic number.

12046242751440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12046242751440 is an abundant number, since it is smaller than the sum of its proper divisors (25316430074928).

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

12046242751440 is a wasteful number, since it uses less digits than its factorization.

12046242751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25968156 (or 25968150 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 12046242751440 in words is "twelve trillion, forty-six billion, two hundred forty-two million, seven hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1933 3866 5799 7732 9665 11598 15464 19330 23196 28995 30928 38660 46392 57990 77320 92784 115980 154640 231960 463920 25966207 51932414 77898621 103864828 129831035 155797242 207729656 259662070 311594484 389493105 415459312 519324140 623188968 778986210 1038648280 1246377936 1557972420 2077296560 3115944840 6231889680 50192678131 100385356262 150578034393 200770712524 250963390655 301156068786 401541425048 501926781310 602312137572 752890171965 803082850096 1003853562620 1204624275144 1505780343930 2007707125240 2409248550288 3011560687860 4015414250480 6023121375720 12046242751440