Search a number
-
+
148550631840 = 25325137935397
BaseRepresentation
bin1000101001011001001…
…1101100000110100000
3112012102202012222112100
42022112103230012200
54413212430204330
6152124311330400
713506136352052
oct2122623540640
9465382188470
10148550631840
1157aaaa60426
1224959380a00
1311015207070
1472930ab8d2
153ce6737060
hex22964ec1a0

148550631840 has 144 divisors (see below), whose sum is σ = 545923640808. Its totient is φ = 36566304768.

The previous prime is 148550631811. The next prime is 148550631841. The reversal of 148550631840 is 48136055841.

148550631840 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 5 + 0 + 631 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104968224144 + 43582407696 = 323988^2 + 208764^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (148550631841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948979 + ... + 3986418.

Almost surely, 2148550631840 is an apocalyptic number.

148550631840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148550631840 is an abundant number, since it is smaller than the sum of its proper divisors (397373008968).

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

148550631840 is a wasteful number, since it uses less digits than its factorization.

148550631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935431 (or 7935420 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 148550631840 in words is "one hundred forty-eight billion, five hundred fifty million, six hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 7935397 15870794 23806191 31741588 39676985 47612382 63483176 71418573 79353970 95224764 103160161 119030955 126966352 142837146 158707940 190449528 206320322 238061910 253932704 285674292 309480483 317415880 357092865 380899056 412640644 476123820 515800805 571348584 618960966 634831760 714185730 761798112 825281288 928441449 952247640 1031601610 1142697168 1237921932 1269663520 1428371460 1547402415 1650562576 1856882898 1904495280 2063203220 2285394336 2475843864 2856742920 3094804830 3301125152 3713765796 3808990560 4126406440 4642207245 4951687728 5713485840 6189609660 7427531592 8252812880 9284414490 9903375456 11426971680 12379219320 14855063184 16505625760 18568828980 24758438640 29710126368 37137657960 49516877280 74275315920 148550631840