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3514040145 = 33573116899
BaseRepresentation
bin1101000101110011…
…1111111101010001
3100001220021201212000
43101130333331101
524144043241040
61340410024213
7153036564000
oct32134777521
910056251760
103514040145
111543647410
12820a18069
134400440c5
142549b4c37
15158782130
hexd173ff51

3514040145 has 128 divisors (see below), whose sum is σ = 7948800000. Its totient is φ = 1460168640.

The previous prime is 3514040143. The next prime is 3514040191. The reversal of 3514040145 is 5410404153.

It is a happy number.

3514040145 is a `hidden beast` number, since 3 + 514 + 0 + 4 + 0 + 145 = 666.

It is not a de Polignac number, because 3514040145 - 21 = 3514040143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3514040143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505906 + ... + 512804.

It is an arithmetic number, because the mean of its divisors is an integer number (62100000).

Almost surely, 23514040145 is an apocalyptic number.

3514040145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3514040145 is an abundant number, since it is smaller than the sum of its proper divisors (4434759855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3514040145 is a wasteful number, since it uses less digits than its factorization.

3514040145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3514040145 is about 59279.3399507788. The cubic root of 3514040145 is about 1520.3219748732.

Adding to 3514040145 its reverse (5410404153), we get a palindrome (8924444298).

The spelling of 3514040145 in words is "three billion, five hundred fourteen million, forty thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 343 385 441 495 539 693 735 945 1029 1155 1323 1485 1617 1715 2079 2205 2695 3087 3465 3773 4851 5145 6615 6899 8085 9261 10395 11319 14553 15435 18865 20697 24255 33957 34495 46305 48293 56595 62091 72765 75889 101871 103485 144879 169785 186273 227667 241465 310455 338051 379445 434637 509355 531223 683001 724395 931365 1014153 1138335 1303911 1593669 1690255 2049003 2173185 2366357 2656115 3042459 3415005 3718561 4781007 5070765 6519555 7099071 7968345 9127377 10245015 11155683 11831785 14343021 15212295 18592805 21297213 23905035 26029927 33467049 35495355 45636885 55778415 63891639 71715105 78089781 100401147 106486065 130149635 167335245 234269343 319458195 390448905 502005735 702808029 1171346715 3514040145