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145433334541 = 11412717971493
BaseRepresentation
bin1000011101110010000…
…0001001001100001101
3111220101111110212112211
42013130200021030031
54340321413201131
6150451113030421
713335654642535
oct2073440111415
9456344425484
10145433334541
1156750364870
12242293b5411
1310939433b51
1470790904c5
153bb2c235b1
hex21dc80930d

145433334541 has 32 divisors (see below), whose sum is σ = 163437958656. Its totient is φ = 128264256000.

The previous prime is 145433334533. The next prime is 145433334583.

145433334541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 145433334541 - 23 = 145433334533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145433334494 and 145433334503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145433334341) 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, 97409391 + ... + 97410883.

It is an arithmetic number, because the mean of its divisors is an integer number (5107436208).

Almost surely, 2145433334541 is an apocalyptic number.

145433334541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145433334541 is a deficient number, since it is larger than the sum of its proper divisors (18004624115).

145433334541 is a wasteful number, since it uses less digits than its factorization.

145433334541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 145433 and 334541, that added together give a palindrome (479974).

The spelling of 145433334541 in words is "one hundred forty-five billion, four hundred thirty-three million, three hundred thirty-four thousand, five hundred forty-one".

Divisors: 1 11 41 271 451 797 1493 2981 8767 11111 16423 32677 61213 122221 215987 359447 404603 673343 1189921 2375857 4450633 8855467 13089131 16588723 48786761 97410137 182475953 322468591 536654371 3547154501 13221212231 145433334541