Search a number
-
+
151401100000 = 25554732213
BaseRepresentation
bin1000110100000000110…
…1010111001011100000
3112110210101212202202011
42031000031113023200
54440032140200000
6153315215002304
713636601054623
oct2150015271340
9473711782664
10151401100000
1159232a79337
1225413b09394
131137a924807
1474838abdba
153e11ae02ba
hex23403572e0

151401100000 has 144 divisors (see below), whose sum is σ = 380503521216. Its totient is φ = 59270080000.

The previous prime is 151401099943. The next prime is 151401100007. The reversal of 151401100000 is 1104151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151401100007) 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, 4683894 + ... + 4716106.

It is an arithmetic number, because the mean of its divisors is an integer number (2642385564).

Almost surely, 2151401100000 is an apocalyptic number.

151401100000 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 151401100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190251760608).

151401100000 is an abundant number, since it is smaller than the sum of its proper divisors (229102421216).

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

151401100000 is an frugal number, since it uses more digits than its factorization.

151401100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32295 (or 32267 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 151401100000 its reverse (1104151), we get a palindrome (151402204151).

The spelling of 151401100000 in words is "one hundred fifty-one billion, four hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3125 3760 4000 4700 5000 5875 6250 7520 9400 10000 11750 12500 18800 20000 23500 25000 29375 32213 37600 47000 50000 58750 64426 94000 100000 117500 128852 146875 161065 188000 235000 257704 293750 322130 470000 515408 587500 644260 805325 940000 1030816 1175000 1288520 1514011 1610650 2350000 2577040 3028022 3221300 4026625 4700000 5154080 6056044 6442600 7570055 8053250 12112088 12885200 15140110 16106500 20133125 24224176 25770400 30280220 32213000 37850275 40266250 48448352 60560440 64426000 75700550 80532500 100665625 121120880 128852000 151401100 161065000 189251375 201331250 242241760 302802200 322130000 378502750 402662500 605604400 644260000 757005500 805325000 946256875 1211208800 1514011000 1610650000 1892513750 3028022000 3221300000 3785027500 4731284375 6056044000 7570055000 9462568750 15140110000 18925137500 30280220000 37850275000 75700550000 151401100000