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134412566640 = 24351150913851
BaseRepresentation
bin111110100101110011…
…1010000000001110000
3110211221102221212002220
41331023213100001300
54200234104113030
6141425343441040
712465603652062
oct1751347200160
9424842855086
10134412566640
1152005431820
12220725b6180
13c8a1117701
146711535732
15376a430a10
hex1f4b9d0070

134412566640 has 80 divisors (see below), whose sum is σ = 454558870656. Its totient is φ = 32584864000.

The previous prime is 134412566549. The next prime is 134412566653. The reversal of 134412566640 is 46665214431.

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

It is a junction number, because it is equal to n+sod(n) for n = 134412566592 and 134412566601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25454286 + ... + 25459565.

Almost surely, 2134412566640 is an apocalyptic number.

134412566640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134412566640 is an abundant number, since it is smaller than the sum of its proper divisors (320146304016).

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

134412566640 is a wasteful number, since it uses less digits than its factorization.

134412566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50913878 (or 50913872 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 134412566640 in words is "one hundred thirty-four billion, four hundred twelve million, five hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 50913851 101827702 152741553 203655404 254569255 305483106 407310808 509138510 560052361 610966212 763707765 814621616 1018277020 1120104722 1221932424 1527415530 1680157083 2036554040 2240209444 2443864848 2800261805 3054831060 3360314166 4073108080 4480418888 5600523610 6109662120 6720628332 8400785415 8960837776 11201047220 12219324240 13441256664 16801570830 22402094440 26882513328 33603141660 44804188880 67206283320 134412566640