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30141455414103 = 321116317411072859
BaseRepresentation
bin1101101101001110110101…
…01111100011001101010111
310221201111100212000100001100
412312213122233203031113
512422314200041222403
6144034443215401143
76230435235515265
oct666473257431527
9127644325010040
1030141455414103
119670a12882370
1234697485231b3
1313a84336b2507
14762bd5dd3435
153740ad6892a3
hex1b69dabe3357

30141455414103 has 48 divisors (see below), whose sum is σ = 47814503518080. Its totient is φ = 18145032782400.

The previous prime is 30141455414087. The next prime is 30141455414143.

30141455414103 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 1 + 4 + 5 + 541 + 4 + 103 = 666.

30141455414103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30141455414103 - 24 = 30141455414087 is a prime.

It is a super-2 number, since 2×301414554141032 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30141455414143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27558088 + ... + 28630946.

It is an arithmetic number, because the mean of its divisors is an integer number (996135489960).

Almost surely, 230141455414103 is an apocalyptic number.

30141455414103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30141455414103 is a deficient number, since it is larger than the sum of its proper divisors (17673048103977).

30141455414103 is a wasteful number, since it uses less digits than its factorization.

30141455414103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074780 (or 1074777 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 3014145 and 5414103, that added together give a palindrome (8428248).

The spelling of 30141455414103 in words is "thirty trillion, one hundred forty-one billion, four hundred fifty-five million, four hundred fourteen thousand, one hundred three".

Divisors: 1 3 9 11 33 99 163 489 1467 1741 1793 5223 5379 15669 16137 19151 57453 172359 283783 851349 1072859 2554047 3121613 3218577 9364839 9655731 11801449 28094517 35404347 106213041 174876017 524628051 1573884153 1867847519 1923636187 5603542557 5770908561 16810627671 17312725683 20546322709 61638968127 184916904381 304459145597 913377436791 2740132310373 3349050601567 10047151804701 30141455414103