Search a number
-
+
348940441355415 = 35713255634022971
BaseRepresentation
bin100111101010111000000011…
…1000011100000010010010111
31200202111101021022120210120120
41033111300013003200102113
5331214020010441333130
63234045005322403023
7133333054266301020
oct11725600703402227
91622441238523516
10348940441355415
11a12018a03174a8
1233176bb3960473
1311c91c33693120
146224b439d1c47
152a51b1d136910
hex13d5c070e0497

348940441355415 has 32 divisors (see below), whose sum is σ = 687144253748736. Its totient is φ = 147245197230720.

The previous prime is 348940441355381. The next prime is 348940441355419. The reversal of 348940441355415 is 514553144049843.

It is a happy number.

It is not a de Polignac number, because 348940441355415 - 27 = 348940441355287 is a prime.

It is a super-2 number, since 2×3489404413554152 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348940441355419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127817010121 + ... + 127817012850.

It is an arithmetic number, because the mean of its divisors is an integer number (21473257929648).

Almost surely, 2348940441355415 is an apocalyptic number.

348940441355415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348940441355415 is a deficient number, since it is larger than the sum of its proper divisors (338203812393321).

348940441355415 is a wasteful number, since it uses less digits than its factorization.

348940441355415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255634022999.

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 348940441355415 in words is "three hundred forty-eight trillion, nine hundred forty billion, four hundred forty-one million, three hundred fifty-five thousand, four hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 255634022971 766902068913 1278170114855 1789438160797 3323242298623 3834510344565 5368314482391 8947190803985 9969726895869 16616211493115 23262696090361 26841572411955 49848634479345 69788088271083 116313480451805 348940441355415