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1412043340240 = 2451337211117383
BaseRepresentation
bin10100100011000100010…
…101110111100111010000
311222222201201122212110101
4110203010111313213100
5141113331043341430
63000403405142144
7204005515233121
oct24430425674720
94888651585411
101412043340240
114a4931721045
121a97b655a954
13a3202a346c0
144c4b3caa048
1526ae55e1dca
hex148c45779d0

1412043340240 has 160 divisors (see below), whose sum is σ = 3633023471616. Its totient is φ = 507009300480.

The previous prime is 1412043340193. The next prime is 1412043340243. The reversal of 1412043340240 is 420433402141.

It is a super-2 number, since 2×14120433402402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1412043340199 and 1412043340208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412043340243) 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 31 ways as a sum of consecutive naturals, for example, 81222589 + ... + 81239971.

Almost surely, 21412043340240 is an apocalyptic number.

1412043340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412043340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816511735808).

1412043340240 is an abundant number, since it is smaller than the sum of its proper divisors (2220980131376).

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

1412043340240 is a wasteful number, since it uses less digits than its factorization.

1412043340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19557 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1412043340240 its reverse (420433402141), we get a palindrome (1832476742381).

The spelling of 1412043340240 in words is "one trillion, four hundred twelve billion, forty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2111 2405 2960 3848 4222 4810 7696 8444 9620 10555 16888 17383 19240 21110 27443 33776 34766 38480 42220 54886 69532 78107 84440 86915 109772 137215 139064 156214 168880 173830 219544 225979 274430 278128 312428 347660 390535 439088 451958 548860 624856 643171 695320 781070 903916 1015391 1097720 1129895 1249712 1286342 1390640 1562140 1807832 2030782 2195440 2259790 2572684 3124280 3215855 3615664 4061564 4519580 5076955 5145368 6248560 6431710 8123128 8361223 9039160 10153910 10290736 12863420 16246256 16722446 18078320 20307820 25726840 33444892 36695513 40615640 41806115 51453680 66889784 73391026 81231280 83612230 133779568 146782052 167224460 183477565 293564104 334448920 366955130 477041669 587128208 668897840 733910260 954083338 1357733981 1467820520 1908166676 2385208345 2715467962 2935641040 3816333352 4770416690 5430935924 6788669905 7632666704 9540833380 10861871848 13577339810 17650541753 19081666760 21723743696 27154679620 35301083506 38163333520 54309359240 70602167012 88252708765 108618718480 141204334024 176505417530 282408668048 353010835060 706021670120 1412043340240