Search a number
-
+
1023342150432 = 25371522830581
BaseRepresentation
bin11101110010000111111…
…00100000001100100000
310121211102110210112020010
432321003330200030200
5113231301042303212
62102041125444520
7133635241520520
oct16710374401440
93554373715203
101023342150432
11364aa6a69008
121463b7270740
13756681c3084
143775c55b680
151b945b0e03c
hexee43f20320

1023342150432 has 48 divisors (see below), whose sum is σ = 3070026453312. Its totient is φ = 292383471360.

The previous prime is 1023342150359. The next prime is 1023342150437. The reversal of 1023342150432 is 2340512433201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10233421504323 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023342150432.

It is not an unprimeable number, because it can be changed into a prime (1023342150437) by changing a digit.

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, 761414619 + ... + 761415962.

It is an arithmetic number, because the mean of its divisors is an integer number (63958884444).

Almost surely, 21023342150432 is an apocalyptic number.

1023342150432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023342150432 is an abundant number, since it is smaller than the sum of its proper divisors (2046684302880).

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

1023342150432 is a wasteful number, since it uses less digits than its factorization.

1023342150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522830601 (or 1522830593 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1023342150432 its reverse (2340512433201), we get a palindrome (3363854583633).

The spelling of 1023342150432 in words is "one trillion, twenty-three billion, three hundred forty-two million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1522830581 3045661162 4568491743 6091322324 9136983486 10659814067 12182644648 18273966972 21319628134 24365289296 31979442201 36547933944 42639256268 48730578592 63958884402 73095867888 85278512536 127917768804 146191735776 170557025072 255835537608 341114050144 511671075216 1023342150432