Search a number
-
+
145354532202 = 232112334397177
BaseRepresentation
bin1000011101011111001…
…1100010010101101010
3111220012000012022001200
42013113303202111222
54340141230012302
6150435220025030
713334010065235
oct2072763422552
9456160168050
10145354532202
115670a931470
1224206b32176
1310926002949
14706c81a41c
153baad5981c
hex21d7ce256a

145354532202 has 96 divisors (see below), whose sum is σ = 345873939840. Its totient is φ = 43751784960.

The previous prime is 145354532171. The next prime is 145354532207. The reversal of 145354532202 is 202235453541.

145354532202 is a `hidden beast` number, since 1 + 4 + 53 + 54 + 532 + 20 + 2 = 666.

It is a super-2 number, since 2×1453545322022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145354532207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20249238 + ... + 20256414.

It is an arithmetic number, because the mean of its divisors is an integer number (3602853540).

Almost surely, 2145354532202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145354532202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172936969920).

145354532202 is an abundant number, since it is smaller than the sum of its proper divisors (200519407638).

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

145354532202 is a wasteful number, since it uses less digits than its factorization.

145354532202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 145354532202 its reverse (202235453541), we get a palindrome (347589985743).

The spelling of 145354532202 in words is "one hundred forty-five billion, three hundred fifty-four million, five hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 439 466 699 878 1317 1398 2097 2563 2634 3951 4194 4829 5126 7177 7689 7902 9658 14354 14487 15378 21531 23067 28974 43062 43461 46134 64593 78947 86922 102287 129186 157894 204574 236841 306861 473682 613722 710523 920583 1125157 1421046 1672241 1841166 2250314 3150703 3344482 3375471 5016723 6301406 6750942 9452109 10033446 10126413 15050169 18394651 18904218 20252826 28356327 30100338 34657733 36789302 55183953 56712654 69315466 103973199 110367906 165551859 207946398 311919597 331103718 623839194 734113799 1468227598 2202341397 4404682794 6607024191 8075251789 13214048382 16150503578 24225755367 48451510734 72677266101 145354532202