Search a number
-
+
151400026400 = 2552727035719
BaseRepresentation
bin1000110100000000100…
…1010001000100100000
3112110210022212020001012
42031000021101010200
54440031401321100
6153315140000052
713636555663610
oct2150011210440
9473708766035
10151400026400
1159232405767
1225413690028
131137a639c4c
1474836aca40
153e1197c135
hex2340251120

151400026400 has 72 divisors (see below), whose sum is σ = 422406089280. Its totient is φ = 51908578560.

The previous prime is 151400026399. The next prime is 151400026403. The reversal of 151400026400 is 4620004151.

151400026400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151400026403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13512260 + ... + 13523459.

It is an arithmetic number, because the mean of its divisors is an integer number (5866751240).

Almost surely, 2151400026400 is an apocalyptic number.

151400026400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151400026400 is an abundant number, since it is smaller than the sum of its proper divisors (271006062880).

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

151400026400 is a wasteful number, since it uses less digits than its factorization.

151400026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27035746 (or 27035733 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 151400026400 in words is "one hundred fifty-one billion, four hundred million, twenty-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 27035719 54071438 108142876 135178595 189250033 216285752 270357190 378500066 432571504 540714380 675892975 757000132 865143008 946250165 1081428760 1351785950 1514000264 1892500330 2162857520 2703571900 3028000528 3785000660 4325715040 4731250825 5407143800 6056001056 7570001320 9462501650 10814287600 15140002640 18925003300 21628575200 30280005280 37850006600 75700013200 151400026400