Search a number
-
+
32151102223140 = 2234570148015897
BaseRepresentation
bin1110100111101110000110…
…00001101111001100100100
311012211121121121000212020000
413103313003001233030210
513203230424132120030
6152214002405141300
76525561166531125
oct723670301571444
9135747547025200
1032151102223140
11a27622a0335aa
1237331230ba830
1314c2ab37015c4
147d219bb4804c
153ab4cd50a860
hex1d3dc306f324

32151102223140 has 240 divisors, whose sum is σ = 101041246850544. Its totient is φ = 8558161920000.

The previous prime is 32151102223139. The next prime is 32151102223147. The reversal of 32151102223140 is 4132220115123.

It is a happy number.

32151102223140 is a `hidden beast` number, since 3 + 2 + 1 + 511 + 0 + 2 + 2 + 2 + 3 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5338983269376 + 26812118953764 = 2310624^2 + 5178042^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (32151102223147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5452108672 + ... + 5452114568.

Almost surely, 232151102223140 is an apocalyptic number.

32151102223140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32151102223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50520623425272).

32151102223140 is an abundant number, since it is smaller than the sum of its proper divisors (68890144627404).

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

32151102223140 is a wasteful number, since it uses less digits than its factorization.

32151102223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11420 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 32151102223140 its reverse (4132220115123), we get a palindrome (36283322338263).

The spelling of 32151102223140 in words is "thirty-two trillion, one hundred fifty-one billion, one hundred two million, two hundred twenty-three thousand, one hundred forty".