Search a number
-
+
30035401024 = 263189170099
BaseRepresentation
bin11011111110001111…
…111101100101000000
32212112012220110110011
4123332033331211000
5443003030313044
621444214514304
72112206460556
oct337617754500
985465813404
1030035401024
1111813223382
1259a2965994
132aa880b555
14164d021bd6
15babcbd134
hex6fe3fd940

30035401024 has 56 divisors (see below), whose sum is σ = 62215776000. Its totient is φ = 14369879040.

The previous prime is 30035401013. The next prime is 30035401043. The reversal of 30035401024 is 42010453003.

It is a junction number, because it is equal to n+sod(n) for n = 30035400986 and 30035401004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91527 + ... + 261625.

It is an arithmetic number, because the mean of its divisors is an integer number (1110996000).

Almost surely, 230035401024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30035401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31107888000).

30035401024 is an abundant number, since it is smaller than the sum of its proper divisors (32180374976).

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

30035401024 is a wasteful number, since it uses less digits than its factorization.

30035401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170231 (or 170221 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 30035401024 its reverse (42010453003), we get a palindrome (72045854027).

The spelling of 30035401024 in words is "thirty billion, thirty-five million, four hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 178 248 356 496 712 992 1424 1984 2759 2848 5518 5696 11036 22072 44144 88288 170099 176576 340198 680396 1360792 2721584 5273069 5443168 10546138 10886336 15138811 21092276 30277622 42184552 60555244 84369104 121110488 168738208 242220976 337476416 469303141 484441952 938606282 968883904 1877212564 3754425128 7508850256 15017700512 30035401024