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30405320514140 = 2251113192521221951
BaseRepresentation
bin1101110100111010010100…
…10101000001101001011100
310222122201110001202020210012
412322131022111001221130
512441130044022423030
6144400002244302352
76255466121044235
oct672351225015134
9128581401666705
1030405320514140
119762907846480
1234b09083a19b8
1313c729513a3c0
147718a800408c
1537ada383b095
hex1ba74a541a5c

30405320514140 has 192 divisors, whose sum is σ = 78993746657280. Its totient is φ = 9664945920000.

The previous prime is 30405320514103. The next prime is 30405320514199. The reversal of 30405320514140 is 4141502350403.

It is a junction number, because it is equal to n+sod(n) for n = 30405320514097 and 30405320514106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136880165 + ... + 137102115.

It is an arithmetic number, because the mean of its divisors is an integer number (411425763840).

Almost surely, 230405320514140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30405320514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39496873328640).

30405320514140 is an abundant number, since it is smaller than the sum of its proper divisors (48588426143140).

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

30405320514140 is a wasteful number, since it uses less digits than its factorization.

30405320514140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224524 (or 224522 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 30405320514140 its reverse (4141502350403), we get a palindrome (34546822864543).

The spelling of 30405320514140 in words is "thirty trillion, four hundred five billion, three hundred twenty million, five hundred fourteen thousand, one hundred forty".