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220363145145 = 325111394736161
BaseRepresentation
bin1100110100111010101…
…0101011111110111001
3210001210111010122020100
43031032222223332321
512102300431121040
6245122230550013
721630542554053
oct3151652537671
9701714118210
10220363145145
1185501283580
123685b208309
1317a1b0032a0
14a9466d68d3
155aeb023b30
hex334eaabfb9

220363145145 has 96 divisors (see below), whose sum is σ = 449225771904. Its totient is φ = 98517196800.

The previous prime is 220363145131. The next prime is 220363145159. The reversal of 220363145145 is 541541363022.

220363145145 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 631 + 4 + 5 + 14 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (220363145131) and next prime (220363145159).

It is not a de Polignac number, because 220363145145 - 24 = 220363145129 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6075865 + ... + 6112025.

It is an arithmetic number, because the mean of its divisors is an integer number (4679435124).

Almost surely, 2220363145145 is an apocalyptic number.

It is an amenable number.

220363145145 is an abundant number, since it is smaller than the sum of its proper divisors (228862626759).

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

220363145145 is a wasteful number, since it uses less digits than its factorization.

220363145145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37143 (or 37140 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 220363145145 in words is "two hundred twenty billion, three hundred sixty-three million, one hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 947 1287 2145 2841 4735 6435 8523 10417 12311 14205 31251 36161 36933 42615 52085 61555 93753 108483 110799 135421 156255 180805 184665 325449 397771 406263 468765 470093 542415 553995 677105 1193313 1218789 1410279 1627245 1988855 2031315 2350465 3579939 4230837 5171023 5966565 6093945 7051395 15513069 17899695 21154185 25855115 34244467 46539207 77565345 102733401 171222335 232696035 308200203 376689137 445178071 513667005 1130067411 1335534213 1541001015 1883445685 2225890355 3390202233 4006602639 4896958781 5650337055 6677671065 14690876343 16951011165 20033013195 24484793905 44072629029 73454381715 220363145145