Search a number
-
+
21438904241673 = 32314347137277531
BaseRepresentation
bin1001101111111101000100…
…10001011000111000001001
32210220112120002122112210100
410313332202101120320021
510302223333441213143
6113332521401440013
74341624014204022
oct467764221307011
983815502575710
1021438904241673
116916208595976
1224a30057a0009
13bc68abc46049
145419116bbc49
15272a1d6d36d3
hex137fa2458e09

21438904241673 has 96 divisors (see below), whose sum is σ = 33649560502272. Its totient is φ = 13125881260800.

The previous prime is 21438904241597. The next prime is 21438904241687. The reversal of 21438904241673 is 37614240983412.

21438904241673 is a `hidden beast` number, since 2 + 1 + 4 + 38 + 90 + 42 + 416 + 73 = 666.

It is not a de Polignac number, because 21438904241673 - 230 = 21437830499849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21438904741673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77109918 + ... + 77387448.

It is an arithmetic number, because the mean of its divisors is an integer number (350516255232).

Almost surely, 221438904241673 is an apocalyptic number.

It is an amenable number.

21438904241673 is a deficient number, since it is larger than the sum of its proper divisors (12210656260599).

21438904241673 is a wasteful number, since it uses less digits than its factorization.

21438904241673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277795 (or 277792 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 21438904241673 in words is "twenty-one trillion, four hundred thirty-eight billion, nine hundred four million, two hundred forty-one thousand, six hundred seventy-three".

Divisors: 1 3 9 31 43 47 93 129 137 141 279 387 411 423 1233 1333 1457 2021 3999 4247 4371 5891 6063 6439 11997 12741 13113 17673 18189 19317 38223 53019 57951 62651 182621 187953 199609 276877 277531 547863 563859 598827 830631 832593 1643589 1796481 2491893 2497779 8583187 8603461 11933833 13043957 25749561 25810383 35801499 38021747 39131871 77248683 77431149 107404497 114065241 117395613 342195723 369948823 404362667 560890151 1109846469 1178674157 1213088001 1634935121 1682670453 1787022109 3329539407 3536022471 3639264003 4904805363 5048011359 5361066327 10608067413 14714416089 16083198981 17387594681 50682988751 52162784043 55397685379 76841950687 152048966253 156488352129 166193056137 230525852061 456146898759 498579168411 691577556183 2382100471297 7146301413891 21438904241673