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1400367782385 = 3251113892445139
BaseRepresentation
bin10100011000001100011…
…011001001100111110001
311221212121001001002001200
4110120030123021213301
5140420423123014020
62551153045321413
7203113263515625
oct24301433114761
94855531032050
101400367782385
1149a990118680
121a7498406269
13a2091b77ca0
144bac73c5185
15266605ac590
hex1460c6c99f1

1400367782385 has 96 divisors (see below), whose sum is σ = 2883700310400. Its totient is φ = 619695774720.

The previous prime is 1400367782369. The next prime is 1400367782393. The reversal of 1400367782385 is 5832877630041.

It is a happy number.

1400367782385 is a `hidden beast` number, since 1 + 40 + 0 + 367 + 7 + 8 + 238 + 5 = 666.

It is not a de Polignac number, because 1400367782385 - 24 = 1400367782369 is a prime.

It is a super-2 number, since 2×14003677823852 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 649855 + ... + 1795284.

It is an arithmetic number, because the mean of its divisors is an integer number (30038544900).

Almost surely, 21400367782385 is an apocalyptic number.

1400367782385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1400367782385 is an abundant number, since it is smaller than the sum of its proper divisors (1483332528015).

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

1400367782385 is a wasteful number, since it uses less digits than its factorization.

1400367782385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445263 (or 2445260 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1400367782385 in words is "one trillion, four hundred billion, three hundred sixty-seven million, seven hundred eighty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 89 99 117 143 165 195 267 429 445 495 585 715 801 979 1157 1287 1335 2145 2937 3471 4005 4895 5785 6435 8811 10413 12727 14685 17355 38181 44055 52065 63635 114543 190905 572715 2445139 7335417 12225695 22006251 26896529 31786807 36677085 80689587 95360421 110031255 134482645 158934035 217617371 242068761 286081263 349654877 403447935 476802105 652852113 1048964631 1088086855 1210343805 1430406315 1748274385 1958556339 2393791081 2829025823 3146893893 3264260565 5244823155 7181373243 8487077469 9792781695 11968955405 14145129115 15734469465 21544119729 25461232407 31119284053 35906866215 42435387345 93357852159 107720598645 127306162035 155596420265 280073556477 466789260795 1400367782385