Search a number
-
+
149584162140 = 223257499237911
BaseRepresentation
bin1000101101001111101…
…0010010110101011100
3112022002202222202120100
42023103322102311130
54422322021142030
6152415031421100
713543556253660
oct2132372226534
9468082882510
10149584162140
11584903a5aa6
1224ba7524790
131114b38405a
1473504668a0
153d5733d360
hex22d3e92d5c

149584162140 has 144 divisors (see below), whose sum is σ = 519599808000. Its totient is φ = 34122003840.

The previous prime is 149584162139. The next prime is 149584162177. The reversal of 149584162140 is 41261485941.

149584162140 is a `hidden beast` number, since 1 + 4 + 9 + 584 + 1 + 6 + 21 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509785 + ... + 747695.

It is an arithmetic number, because the mean of its divisors is an integer number (3608332000).

Almost surely, 2149584162140 is an apocalyptic number.

149584162140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149584162140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259799904000).

149584162140 is an abundant number, since it is smaller than the sum of its proper divisors (370015645860).

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

149584162140 is a wasteful number, since it uses less digits than its factorization.

149584162140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238432 (or 238427 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 149584162140 in words is "one hundred forty-nine billion, five hundred eighty-four million, one hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 499 630 998 1260 1497 1996 2495 2994 3493 4491 4990 5988 6986 7485 8982 9980 10479 13972 14970 17465 17964 20958 22455 29940 31437 34930 41916 44910 52395 62874 69860 89820 104790 125748 157185 209580 237911 314370 475822 628740 713733 951644 1189555 1427466 1665377 2141199 2379110 2854932 3330754 3568665 4282398 4758220 4996131 6661508 7137330 8326885 8564796 9992262 10705995 14274660 14988393 16653770 19984524 21411990 24980655 29976786 33307540 42823980 49961310 59953572 74941965 99922620 118717589 149883930 237435178 299767860 356152767 474870356 593587945 712305534 831023123 1068458301 1187175890 1424611068 1662046246 1780763835 2136916602 2374351780 2493069369 3324092492 3561527670 4155115615 4273833204 4986138738 5342291505 7123055340 7479208107 8310231230 9972277476 10684583010 12465346845 14958416214 16620462460 21369166020 24930693690 29916832428 37396040535 49861387380 74792081070 149584162140