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1014244224030 = 23451907656609
BaseRepresentation
bin11101100001001011010…
…10101010110000011110
310120221221102102222110000
432300211222222300132
5113104133010132110
62053534245355130
7133163626441662
oct16604552526036
93527842388400
101014244224030
11361158472274
12144698408aa6
137484837707b
14371381348a2
151b5b203c1c0
hexec25aaac1e

1014244224030 has 80 divisors (see below), whose sum is σ = 2728624274640. Its totient is φ = 270322887168.

The previous prime is 1014244223911. The next prime is 1014244224043. The reversal of 1014244224030 is 304224424101.

1014244224030 is a `hidden beast` number, since 1 + 0 + 14 + 244 + 2 + 2 + 403 + 0 = 666.

1014244224030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1014244223985 and 1014244224003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216366 + ... + 1872974.

It is an arithmetic number, because the mean of its divisors is an integer number (34107803433).

Almost surely, 21014244224030 is an apocalyptic number.

1014244224030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014244224030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364312137320).

1014244224030 is an abundant number, since it is smaller than the sum of its proper divisors (1714380050610).

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

1014244224030 is a wasteful number, since it uses less digits than its factorization.

1014244224030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658535 (or 658526 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1014244224030 its reverse (304224424101), we get a palindrome (1318468648131).

The spelling of 1014244224030 in words is "one trillion, fourteen billion, two hundred forty-four million, two hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1907 3814 5721 9535 11442 17163 19070 28605 34326 51489 57210 85815 102978 154467 171630 257445 308934 514890 656609 772335 1313218 1544670 1969827 3283045 3939654 5909481 6566090 9849135 11818962 17728443 19698270 29547405 35456886 53185329 59094810 88642215 106370658 177284430 265926645 531853290 1252153363 2504306726 3756460089 6260766815 7512920178 11269380267 12521533630 18782300445 22538760534 33808140801 37564600890 56346901335 67616281602 101424422403 112693802670 169040704005 202848844806 338081408010 507122112015 1014244224030