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325138214157120 = 2632571317127574621
BaseRepresentation
bin100100111101101100010001…
…1110000011111101101000000
31120122012220120011211212210100
41021323120203300133231000
5320104031030311011440
63111302233352002400
7125325314022311340
oct11173304360375500
91518186504755710
10325138214157120
1194665384612a51
1230571b6a090400
1310c5652c36a820
145a40ab87d8d20
15278c8cee79230
hex127b623c1fb40

325138214157120 has 1344 divisors, whose sum is σ = 1468862253121536. Its totient is φ = 64056762040320.

The previous prime is 325138214157023. The next prime is 325138214157121. The reversal of 325138214157120 is 21751412831523.

325138214157120 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 38 + 2 + 1 + 41 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325138214157121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565543410 + ... + 566118030.

It is an arithmetic number, because the mean of its divisors is an integer number (1092903462144).

Almost surely, 2325138214157120 is an apocalyptic number.

325138214157120 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 325138214157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734431126560768).

325138214157120 is an abundant number, since it is smaller than the sum of its proper divisors (1143724038964416).

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

325138214157120 is a wasteful number, since it uses less digits than its factorization.

325138214157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574808 (or 574795 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 325138214157120 its reverse (21751412831523), we get a palindrome (346889626988643).

The spelling of 325138214157120 in words is "three hundred twenty-five trillion, one hundred thirty-eight billion, two hundred fourteen million, one hundred fifty-seven thousand, one hundred twenty".