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10140252453342 = 2321173971012709
BaseRepresentation
bin1001001110001111011000…
…1001010011100111011110
31022220101202121222002110100
42103203312021103213132
52312114214112001332
633322211225521530
72064415623464214
oct223436611234736
938811677862410
1010140252453342
11325a503177090
1211792ba0432a6
135872b610b79b
14270b100b4cb4
15128b87dd067c
hex938f62539de

10140252453342 has 288 divisors, whose sum is σ = 24827083051680. Its totient is φ = 2965579776000.

The previous prime is 10140252453337. The next prime is 10140252453367. The reversal of 10140252453342 is 24335425204101.

It is a happy number.

10140252453342 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 2 + 524 + 53 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10140252453297 and 10140252453306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14302189284 + ... + 14302189992.

It is an arithmetic number, because the mean of its divisors is an integer number (86205149485).

Almost surely, 210140252453342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140252453342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413541525840).

10140252453342 is an abundant number, since it is smaller than the sum of its proper divisors (14686830598338).

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

10140252453342 is a wasteful number, since it uses less digits than its factorization.

10140252453342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10140252453342 its reverse (24335425204101), we get a palindrome (34475677657443).

The spelling of 10140252453342 in words is "ten trillion, one hundred forty billion, two hundred fifty-two million, four hundred fifty-three thousand, three hundred forty-two".