Search a number
-
+
145160792487936 = 2113210773602589
BaseRepresentation
bin100001000000010111100001…
…011110001011100000000000
3201000222020101012210101002100
4201000113201132023200000
5123011303300334103221
61232421540352350400
742401343521453001
oct4100274136134000
9630866335711070
10145160792487936
114228638a030875
1214345173845400
1362cc7b0c94144
1427bbb699191a8
1511bae7303b926
hex8405e178b800

145160792487936 has 144 divisors (see below), whose sum is σ = 423169258894200. Its totient is φ = 47934715871232.

The previous prime is 145160792487881. The next prime is 145160792487937. The reversal of 145160792487936 is 639784297061541.

145160792487936 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 607 + 9 + 2 + 4 + 8 + 7 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145160792487937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34829071 + ... + 38773518.

It is a 1-persistent number, because it is pandigital, but 2⋅145160792487936 = 290321584975872 is not.

Almost surely, 2145160792487936 is an apocalyptic number.

145160792487936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145160792487936 is an abundant number, since it is smaller than the sum of its proper divisors (278008466406264).

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

145160792487936 is a wasteful number, since it uses less digits than its factorization.

145160792487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73602724 (or 73602701 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 145160792487936 in words is "one hundred forty-five trillion, one hundred sixty billion, seven hundred ninety-two million, four hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1152 1284 1536 1712 1926 2048 2304 2568 3072 3424 3852 4608 5136 6144 6848 7704 9216 10272 13696 15408 18432 20544 27392 30816 41088 54784 61632 82176 109568 123264 164352 219136 246528 328704 493056 657408 986112 1972224 73602589 147205178 220807767 294410356 441615534 588820712 662423301 883231068 1177641424 1324846602 1766462136 2355282848 2649693204 3532924272 4710565696 5299386408 7065848544 7875477023 9421131392 10598772816 14131697088 15750954046 18842262784 21197545632 23626431069 28263394176 31501908092 37684525568 42395091264 47252862138 56526788352 63003816184 70879293207 75369051136 84790182528 94505724276 113053576704 126007632368 141758586414 150738102272 169580365056 189011448552 226107153408 252015264736 283517172828 339160730112 378022897104 452214306816 504030529472 567034345656 678321460224 756045794208 1008061058944 1134068691312 1356642920448 1512091588416 2016122117888 2268137382624 3024183176832 4032244235776 4536274765248 6048366353664 8064488471552 9072549530496 12096732707328 16128976943104 18145099060992 24193465414656 36290198121984 48386930829312 72580396243968 145160792487936