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434231003322540 = 2232529572253136209
BaseRepresentation
bin110001010111011100100100…
…0101101000001100010101100
32002221111002010020011020012200
41202232321020231001202230
5423403420043322310130
64135310545151101500
7160315104030230304
oct14256711055014254
92087432106136180
10434231003322540
111163a5374aa6626
1240850a64511890
131583aa66c9b258
147932c6d7d4604
15353052909b760
hex18aee48b418ac

434231003322540 has 144 divisors (see below), whose sum is σ = 1317707687892960. Its totient is φ = 115747440261120.

The previous prime is 434231003322503. The next prime is 434231003322581. The reversal of 434231003322540 is 45223300132434.

434231003322540 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 3 + 100 + 3 + 3 + 2 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434231003322495 and 434231003322504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11992331956 + ... + 11992368164.

It is an arithmetic number, because the mean of its divisors is an integer number (9150747832590).

Almost surely, 2434231003322540 is an apocalyptic number.

It is an amenable number.

434231003322540 is an abundant number, since it is smaller than the sum of its proper divisors (883476684570420).

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

434231003322540 is a wasteful number, since it uses less digits than its factorization.

434231003322540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61712 (or 61707 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 434231003322540 its reverse (45223300132434), we get a palindrome (479454303454974).

The spelling of 434231003322540 in words is "four hundred thirty-four trillion, two hundred thirty-one billion, three million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2957 5914 8871 11828 14785 17742 22531 26613 29570 35484 36209 44355 45062 53226 59140 67593 72418 88710 90124 106452 108627 112655 133065 135186 144836 177420 181045 202779 217254 225310 266130 270372 325881 337965 362090 405558 434508 450620 532260 543135 651762 675930 724180 811116 1013895 1086270 1303524 1351860 1629405 2027790 2172540 3258810 4055580 6517620 66624167 107070013 133248334 199872501 214140026 266496668 321210039 333120835 399745002 428280052 535350065 599617503 642420078 666241670 799490004 815824979 963630117 999362505 1070700130 1199235006 1284840156 1332483340 1606050195 1631649958 1927260234 1998725010 2141400260 2398470012 2447474937 2998087515 3212100390 3263299916 3854520468 3997450020 4079124895 4818150585 4894949874 5996175030 6424200780 7342424811 8158249790 9636301170 9789899748 11992350060 12237374685 14684849622 16316499580 19272602340 24474749370 29369699244 36712124055 48949498740 73424248110 146848496220 2412394462903 4824788925806 7237183388709 9649577851612 12061972314515 14474366777418 21711550166127 24123944629030 28948733554836 36185916943545 43423100332254 48247889258060 72371833887090 86846200664508 108557750830635 144743667774180 217115501661270 434231003322540