Search a number
-
+
1002154442432 = 261113109501141
BaseRepresentation
bin11101001010101010000…
…11110011111011000000
310112210201212101102220012
432211111003303323000
5112404403014124212
62044214451404052
7132255215132213
oct16452503637300
93483655342805
101002154442432
11357014069430
121422835b3628
137366c738b50
143670c62577a
151b105984922
hexe9550f3ec0

1002154442432 has 56 divisors (see below), whose sum is σ = 2336316365712. Its totient is φ = 420484377600.

The previous prime is 1002154442353. The next prime is 1002154442441. The reversal of 1002154442432 is 2342444512001.

1002154442432 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 (32).

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, 54741419 + ... + 54759722.

It is an arithmetic number, because the mean of its divisors is an integer number (41719935102).

Almost surely, 21002154442432 is an apocalyptic number.

It is an amenable number.

1002154442432 is an abundant number, since it is smaller than the sum of its proper divisors (1334161923280).

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

1002154442432 is a wasteful number, since it uses less digits than its factorization.

1002154442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109501177 (or 109501167 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1002154442432 its reverse (2342444512001), we get a palindrome (3344598954433).

The spelling of 1002154442432 in words is "one trillion, two billion, one hundred fifty-four million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 109501141 219002282 438004564 876009128 1204512551 1423514833 1752018256 2409025102 2847029666 3504036512 4818050204 5694059332 7008073024 9636100408 11388118664 15658663163 19272200816 22776237328 31317326326 38544401632 45552474656 62634652652 77088803264 91104949312 125269305304 250538610608 501077221216 1002154442432