Search a number
-
+
14435153004 = 22323107488797
BaseRepresentation
bin11010111000110011…
…01111010001101100
31101021000021202021110
431130121233101230
5214030344344004
610344215232020
71020500530116
oct153431572154
941230252243
1014435153004
1161382a4118
12296a378610
13149080aa6c
149ad1cc3b6
1559743c589
hex35c66f46c

14435153004 has 48 divisors (see below), whose sum is σ = 35475003648. Its totient is φ = 4559489088.

The previous prime is 14435153003. The next prime is 14435153009. The reversal of 14435153004 is 40035153441.

It is not an unprimeable number, because it can be changed into a prime (14435153003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214867 + ... + 273930.

It is an arithmetic number, because the mean of its divisors is an integer number (739062576).

Almost surely, 214435153004 is an apocalyptic number.

It is an amenable number.

14435153004 is an abundant number, since it is smaller than the sum of its proper divisors (21039850644).

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

14435153004 is a wasteful number, since it uses less digits than its factorization.

14435153004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488934 (or 488932 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 14435153004 in words is "fourteen billion, four hundred thirty-five million, one hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 7383 9844 14766 29532 488797 977594 1466391 1955188 2932782 5865564 11242331 22484662 33726993 44969324 52301279 67453986 104602558 134907972 156903837 209205116 313807674 627615348 1202929417 2405858834 3608788251 4811717668 7217576502 14435153004