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2741613215440 = 245117143879853
BaseRepresentation
bin100111111001010100111…
…000011011111011010000
3100201002120201221121202111
4213321110320123323100
5324404310440343230
65455251341555104
7402034505553301
oct47712470337320
910632521847674
102741613215440
11967791206120
12383414875a94
1316b6c10658c8
14969a26d67a8
154b4b04cb92a
hex27e54e1bed0

2741613215440 has 80 divisors (see below), whose sum is σ = 7051668057216. Its totient is φ = 982908684800.

The previous prime is 2741613215437. The next prime is 2741613215461. The reversal of 2741613215440 is 445123161472.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 2741613215393 and 2741613215402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21877447 + ... + 22002406.

Almost surely, 22741613215440 is an apocalyptic number.

2741613215440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2741613215440 is an abundant number, since it is smaller than the sum of its proper divisors (4310054841776).

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

2741613215440 is a wasteful number, since it uses less digits than its factorization.

2741613215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43879948 (or 43879942 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2741613215440 in words is "two trillion, seven hundred forty-one billion, six hundred thirteen million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 31240 62480 43879853 87759706 175519412 219399265 351038824 438798530 482678383 702077648 877597060 965356766 1755194120 1930713532 2413391915 3115469563 3510388240 3861427064 4826783830 6230939126 7722854128 9653567660 12461878252 15577347815 19307135320 24923756504 31154695630 34270165193 38614270640 49847513008 62309391260 68540330386 124618782520 137080660772 171350825965 249237565040 274161321544 342701651930 548322643088 685403303860 1370806607720 2741613215440