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3520214145 = 32574311051
BaseRepresentation
bin1101000111010010…
…0011010010000001
3100002022220101222200
43101310203102001
524202133323040
61341150223413
7153143220000
oct32164432201
910068811880
103520214145
111547083a98
12822ab4b69
134413c6366
14255740c37
151590a1630
hexd1d23481

3520214145 has 120 divisors (see below), whose sum is σ = 7354843392. Its totient is φ = 1555848000.

The previous prime is 3520214143. The next prime is 3520214149. The reversal of 3520214145 is 5414120253.

It is not a de Polignac number, because 3520214145 - 21 = 3520214143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3520214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3348870 + ... + 3349920.

Almost surely, 23520214145 is an apocalyptic number.

3520214145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3520214145 is an abundant number, since it is smaller than the sum of its proper divisors (3834629247).

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

3520214145 is a wasteful number, since it uses less digits than its factorization.

3520214145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1097 counting only the distinct ones).

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

The square root of 3520214145 is about 59331.3925759374. The cubic root of 3520214145 is about 1521.2118315296.

Adding to 3520214145 its reverse (5414120253), we get a palindrome (8934334398).

The spelling of 3520214145 in words is "three billion, five hundred twenty million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 343 441 465 651 735 1029 1051 1085 1395 1519 1715 1953 2205 2401 3087 3153 3255 4557 5145 5255 7203 7357 7595 9459 9765 10633 12005 13671 15435 15765 21609 22071 22785 31899 32581 36015 36785 47295 51499 53165 66213 68355 74431 95697 97743 108045 110355 154497 159495 162905 223293 228067 257495 293229 331065 360493 372155 463491 478485 488715 669879 684201 772485 1081479 1116465 1140335 1466145 1596469 1802465 2052603 2317455 2523451 3244437 3349395 3421005 4789407 5407395 7570353 7982345 10263015 11175283 12617255 14368221 16222185 22711059 23947035 33525849 37851765 55876415 71841105 78226981 100577547 113555295 167629245 234680943 391134905 502887735 704042829 1173404715 3520214145