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7270238144 = 261316353609
BaseRepresentation
bin1101100010101011…
…10000011111000000
3200202200020100211102
412301111300133000
5104342140110034
63201230233532
7345110001401
oct66125603700
920680210742
107270238144
1130a0950584
1214aa9558a8
138bb2b3280
144cd7c39a8
152c83e997e
hex1b15707c0

7270238144 has 56 divisors (see below), whose sum is σ = 15632247120. Its totient is φ = 3334846464.

The previous prime is 7270238123. The next prime is 7270238161. The reversal of 7270238144 is 4418320727.

It is a junction number, because it is equal to n+sod(n) for n = 7270238098 and 7270238107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108812 + ... + 162420.

It is an arithmetic number, because the mean of its divisors is an integer number (279147270).

Almost surely, 27270238144 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 7270238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816123560).

7270238144 is an abundant number, since it is smaller than the sum of its proper divisors (8362008976).

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

7270238144 is a wasteful number, since it uses less digits than its factorization.

7270238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53797 (or 53787 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 7270238144 is about 85265.6914825652. The cubic root of 7270238144 is about 1937.2375519864.

The spelling of 7270238144 in words is "seven billion, two hundred seventy million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 163 208 326 416 652 832 1304 2119 2608 4238 5216 8476 10432 16952 33904 53609 67808 107218 135616 214436 428872 696917 857744 1393834 1715488 2787668 3430976 5575336 8738267 11150672 17476534 22301344 34953068 44602688 69906136 113597471 139812272 227194942 279624544 454389884 559249088 908779768 1817559536 3635119072 7270238144