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12402142203432 = 2335219111088753
BaseRepresentation
bin1011010001111001100101…
…0001111100111000101000
31121220122002121120200110010
42310132121101330320220
53111144041401002212
642213244313051520
72420011434233412
oct264363121747050
947818077520403
1012402142203432
113a5179aa50363
1214837503b6ba0
136bc694aa4507
1430c3a44959b2
1516791c91b03c
hexb479947ce28

12402142203432 has 64 divisors (see below), whose sum is σ = 31098995055360. Its totient is φ = 4121579571200.

The previous prime is 12402142203361. The next prime is 12402142203439. The reversal of 12402142203432 is 23430224120421.

12402142203432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12402142203432.

It is not an unprimeable number, because it can be changed into a prime (12402142203439) 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, 10846768 + ... + 11935520.

It is an arithmetic number, because the mean of its divisors is an integer number (485921797740).

Almost surely, 212402142203432 is an apocalyptic number.

12402142203432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12402142203432 is an abundant number, since it is smaller than the sum of its proper divisors (18696852851928).

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

12402142203432 is a wasteful number, since it uses less digits than its factorization.

12402142203432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090194 (or 1090190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12402142203432 its reverse (23430224120421), we get a palindrome (35832366323853).

The spelling of 12402142203432 in words is "twelve trillion, four hundred two billion, one hundred forty-two million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 521 911 1042 1563 1822 2084 2733 3126 3644 4168 5466 6252 7288 10932 12504 21864 474631 949262 1088753 1423893 1898524 2177506 2847786 3266259 3797048 4355012 5695572 6532518 8710024 11391144 13065036 26130072 567240313 991853983 1134480626 1701720939 1983707966 2268961252 2975561949 3403441878 3967415932 4537922504 5951123898 6806883756 7934831864 11902247796 13613767512 23804495592 516755925143 1033511850286 1550267775429 2067023700572 3100535550858 4134047401144 6201071101716 12402142203432