Search a number
-
+
45306342212430 = 23513196114216223
BaseRepresentation
bin10100100110100101101000…
…11011110000001101001110
312221102020120212221221100110
422103102310123300031032
521414244342101244210
6240205240221340450
712354163252460505
oct1223226433601516
9187366525857313
1045306342212430
1113488348054a02
1250b880a407726
131c384a6413a40
14b28ba541383c
155387c67d1420
hex2934b46f034e

45306342212430 has 64 divisors (see below), whose sum is σ = 123262599075840. Its totient is φ = 10565365631616.

The previous prime is 45306342212359. The next prime is 45306342212437. The reversal of 45306342212430 is 3421224360354.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45306342212437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057100702 + ... + 3057115521.

It is an arithmetic number, because the mean of its divisors is an integer number (1925978110560).

Almost surely, 245306342212430 is an apocalyptic number.

45306342212430 is an abundant number, since it is smaller than the sum of its proper divisors (77956256863410).

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

45306342212430 is a wasteful number, since it uses less digits than its factorization.

45306342212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6114216265.

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 45306342212430 its reverse (3421224360354), we get a palindrome (48727566572784).

The spelling of 45306342212430 in words is "forty-five trillion, three hundred six billion, three hundred forty-two million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 6114216223 12228432446 18342648669 30571081115 36685297338 61142162230 79484810899 91713243345 116170108237 158969621798 183426486690 232340216474 238454432697 348510324711 397424054495 476908865394 580850541185 697020649422 794848108990 1161701082370 1192272163485 1510211407081 1742551623555 2384544326970 3020422814162 3485103247110 4530634221243 7551057035405 9061268442486 15102114070810 22653171106215 45306342212430