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10358142588140 = 225517907129407
BaseRepresentation
bin1001011010111011000101…
…1010001101010011101100
31100200020011202200210020212
42112232301122031103230
52324201434000310030
634010244235401552
72116231300202504
oct226566132152354
940606152623225
1010358142588140
113333955500356
1211b3588bb32b8
135a19cb972329
1427b4a0184a04
1512e68bc5a595
hex96bb168d4ec

10358142588140 has 12 divisors (see below), whose sum is σ = 21752099435136. Its totient is φ = 4143257035248.

The previous prime is 10358142588121. The next prime is 10358142588173. The reversal of 10358142588140 is 4188524185301.

It is a super-3 number, since 3×103581425881403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 258953564684 + ... + 258953564723.

It is an arithmetic number, because the mean of its divisors is an integer number (1812674952928).

Almost surely, 210358142588140 is an apocalyptic number.

10358142588140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10358142588140 is an abundant number, since it is smaller than the sum of its proper divisors (11393956846996).

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

10358142588140 is a wasteful number, since it uses less digits than its factorization.

10358142588140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517907129416 (or 517907129414 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 50.

The spelling of 10358142588140 in words is "ten trillion, three hundred fifty-eight billion, one hundred forty-two million, five hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 517907129407 1035814258814 2071628517628 2589535647035 5179071294070 10358142588140