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1438620234336 = 253221123673977
BaseRepresentation
bin10100111011110100011…
…100101011001001100000
312002112022220202222022100
4110323310130223021200
5142032243234444321
63020520520210400
7205636231141305
oct24736434531140
95075286688270
101438620234336
1150512a687a2a
121b2993009a00
13a5879b7393c
144d8b58510ac
152764d94c326
hex14ef472b260

1438620234336 has 72 divisors (see below), whose sum is σ = 4110465452184. Its totient is φ = 477267356160.

The previous prime is 1438620234319. The next prime is 1438620234347. The reversal of 1438620234336 is 6334320268341.

1438620234336 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 6 + 202 + 3 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1438620234291 and 1438620234300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11776221 + ... + 11897756.

It is an arithmetic number, because the mean of its divisors is an integer number (57089797947).

Almost surely, 21438620234336 is an apocalyptic number.

1438620234336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1438620234336 is an abundant number, since it is smaller than the sum of its proper divisors (2671845217848).

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

1438620234336 is a wasteful number, since it uses less digits than its factorization.

1438620234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674204 (or 23674193 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 1438620234336 in words is "one trillion, four hundred thirty-eight billion, six hundred twenty million, two hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 15192 20256 30384 60768 23673977 47347954 71021931 94695908 142043862 189391816 213065793 284087724 378783632 426131586 568175448 757567264 852263172 1136350896 1704526344 2272701792 3409052688 4995209147 6818105376 9990418294 14985627441 19980836588 29971254882 39961673176 44956882323 59942509764 79923346352 89913764646 119885019528 159846692704 179827529292 239770039056 359655058584 479540078112 719310117168 1438620234336