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102144032432 = 24131728886887
BaseRepresentation
bin101111100100001000…
…0100011111010110000
3100202122121000110211022
41133020100203322300
53133142333014212
6114531353035012
710244136643631
oct1371020437260
9322577013738
10102144032432
113a356709432
12179679b5a68
13982aa766a0
144d2dacd888
1529cc59d772
hex17c8423eb0

102144032432 has 40 divisors (see below), whose sum is σ = 225664369056. Its totient is φ = 44370256896.

The previous prime is 102144032411. The next prime is 102144032503. The reversal of 102144032432 is 234230441201.

102144032432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021440324322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14439908 + ... + 14446979.

Almost surely, 2102144032432 is an apocalyptic number.

It is an amenable number.

102144032432 is an abundant number, since it is smaller than the sum of its proper divisors (123520336624).

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

102144032432 is a wasteful number, since it uses less digits than its factorization.

102144032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28886925 (or 28886919 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 102144032432 its reverse (234230441201), we get a palindrome (336374473633).

The spelling of 102144032432 in words is "one hundred two billion, one hundred forty-four million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 28886887 57773774 115547548 231095096 375529531 462190192 491077079 751059062 982154158 1502118124 1964308316 3004236248 3928616632 6008472496 6384002027 7857233264 12768004054 25536008108 51072016216 102144032432