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145446331401 = 34717102114779
BaseRepresentation
bin1000011101110101000…
…1101110010000001001
3111220102101221011220000
42013131101232100021
54340333230101101
6150452255353213
713336203263340
oct2073521562011
9456371834800
10145446331401
1156757731578
1224231822809
131093c0347b7
14707aab4b57
153bb3e3e486
hex21dd46e409

145446331401 has 80 divisors (see below), whose sum is σ = 263192307840. Its totient is φ = 78141335040.

The previous prime is 145446331337. The next prime is 145446331403. The reversal of 145446331401 is 104133644541.

145446331401 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 4 + 633 + 14 + 0 + 1 = 666.

It is not a de Polignac number, because 145446331401 - 26 = 145446331337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145446331403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9834030 + ... + 9848808.

It is an arithmetic number, because the mean of its divisors is an integer number (3289903848).

Almost surely, 2145446331401 is an apocalyptic number.

It is an amenable number.

145446331401 is a deficient number, since it is larger than the sum of its proper divisors (117745976439).

145446331401 is a wasteful number, since it uses less digits than its factorization.

145446331401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15836 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 145446331401 its reverse (104133644541), we get a palindrome (249579975942).

The spelling of 145446331401 in words is "one hundred forty-five billion, four hundred forty-six million, three hundred thirty-one thousand, four hundred one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 357 459 567 1021 1071 1377 3063 3213 7147 9189 9639 14779 17357 21441 27567 44337 52071 64323 82701 103453 121499 133011 156213 192969 251243 310359 364497 399033 468639 578907 753729 931077 1093491 1197099 1405917 1758701 2261187 2793231 3280473 5276103 6783561 8379693 9841419 15089359 15828309 20350683 45268077 47484927 105625513 135804231 142454781 256519103 316876539 407412693 769557309 950629617 1222238079 1795633721 2308671927 2851888851 5386901163 6926015781 8555666553 16160703489 20778047343 48482110467 145446331401