Search a number
-
+
149249381456 = 2473314121397
BaseRepresentation
bin1000101011111111110…
…1001101010001010000
3112021020110001010210202
42022333331031101100
54421130320201311
6152321512114332
713532352545000
oct2127775152120
9467213033722
10149249381456
115832942634a
1224b133959a8
13110c6bc9286
14731bbdc000
153d37c5de3b
hex22bff4d450

149249381456 has 160 divisors (see below), whose sum is σ = 356610508800. Its totient is φ = 60388070400.

The previous prime is 149249381453. The next prime is 149249381467. The reversal of 149249381456 is 654183942941.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149249381453) 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, 6964550 + ... + 6985946.

It is an arithmetic number, because the mean of its divisors is an integer number (2228815680).

Almost surely, 2149249381456 is an apocalyptic number.

149249381456 is a gapful number since it is divisible by the number (16) 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 149249381456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178305254400).

149249381456 is an abundant number, since it is smaller than the sum of its proper divisors (207361127344).

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

149249381456 is a wasteful number, since it uses less digits than its factorization.

149249381456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21498 (or 21478 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 56.

The spelling of 149249381456 in words is "one hundred forty-nine billion, two hundred forty-nine million, three hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 41 49 56 62 82 98 112 124 164 196 217 248 287 328 343 392 434 496 574 656 686 784 868 1148 1271 1372 1519 1736 2009 2296 2542 2744 3038 3472 4018 4592 5084 5488 6076 8036 8897 10168 10633 12152 14063 16072 17794 20336 21266 21397 24304 28126 32144 35588 42532 42794 56252 62279 71176 85064 85588 112504 124558 142352 149779 170128 171176 225008 249116 299558 342352 435953 498232 599116 663307 871906 877277 996464 1048453 1198232 1326614 1743812 1754554 2096906 2396464 2653228 3487624 3509108 4193812 4643149 5306456 6140939 6975248 7018216 7339171 8387624 9286298 10612912 12281878 14036432 14678342 16775248 18572596 24563756 27195587 29356684 32502043 37145192 42986573 49127512 54391174 58713368 65004086 74290384 85973146 98255024 108782348 117426736 130008172 171946292 190369109 217564696 227514301 260016344 300906011 343892584 380738218 435129392 455028602 520032688 601812022 687785168 761476436 910057204 1203624044 1332583763 1522952872 1820114408 2407248088 2665167526 3045905744 3640228816 4814496176 5330335052 9328086341 10660670104 18656172682 21321340208 37312345364 74624690728 149249381456