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145335106741 = 1141601536191
BaseRepresentation
bin1000011101011010100…
…1011011110010110101
3111220010122122101100011
42013112221123302311
54340121241403431
6150433243420221
713333353011236
oct2072651336265
9456118571304
10145335106741
11566aa973870
1224200524671
1310921c90ba6
14706a00108d
153ba92bdcb1
hex21d6a5bcb5

145335106741 has 16 divisors (see below), whose sum is σ = 162684942336. Its totient is φ = 128685600000.

The previous prime is 145335106681. The next prime is 145335106757. The reversal of 145335106741 is 147601533541.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 145335106741 - 215 = 145335073973 is a prime.

It is a super-2 number, since 2×1453351067412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145335106694 and 145335106703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335109741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 539146.

It is an arithmetic number, because the mean of its divisors is an integer number (10167808896).

Almost surely, 2145335106741 is an apocalyptic number.

145335106741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145335106741 is a deficient number, since it is larger than the sum of its proper divisors (17349835595).

145335106741 is a wasteful number, since it uses less digits than its factorization.

145335106741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536844.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 145335106741 in words is "one hundred forty-five billion, three hundred thirty-five million, one hundred six thousand, seven hundred forty-one".

Divisors: 1 11 41 451 601 6611 24641 271051 536191 5898101 21983831 241822141 322250791 3544758701 13212282431 145335106741