Search a number
-
+
151305030134400 = 2735215760940639
BaseRepresentation
bin100010011001110001110010…
…100100101110101010000000
3201211201121201200220112211210
4202121301302210232222000
5124312440200203300100
61253444323221010120
743604266460650662
oct4231616244565200
9654647650815753
10151305030134400
1144235114aa691a
1214b77b18553940
136657006b1312c
1429512b9a6c532
151275bcec5ec50
hex899c7292ea80

151305030134400 has 96 divisors (see below), whose sum is σ = 498360943036800. Its totient is φ = 40348008033280.

The previous prime is 151305030134387. The next prime is 151305030134411. The reversal of 151305030134400 is 4431030503151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7880460720 + ... + 7880479919.

It is an arithmetic number, because the mean of its divisors is an integer number (5191259823300).

Almost surely, 2151305030134400 is an apocalyptic number.

151305030134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151305030134400 is an abundant number, since it is smaller than the sum of its proper divisors (347055912902400).

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

151305030134400 is a wasteful number, since it uses less digits than its factorization.

151305030134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760940666 (or 15760940649 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 151305030134400 its reverse (4431030503151), we get a palindrome (155736060637551).

The spelling of 151305030134400 in words is "one hundred fifty-one trillion, three hundred five billion, thirty million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 15760940639 31521881278 47282821917 63043762556 78804703195 94565643834 126087525112 157609406390 189131287668 236414109585 252175050224 315218812780 378262575336 394023515975 472828219170 504350100448 630437625560 756525150672 788047031950 945656438340 1008700200896 1182070547925 1260875251120 1513050301344 1576094063900 1891312876680 2017400401792 2364141095850 2521750502240 3026100602688 3152188127800 3782625753360 4728282191700 5043501004480 6052201205376 6304376255600 7565251506720 9456564383400 10087002008960 12608752511200 15130503013440 18913128766800 25217505022400 30261006026880 37826257533600 50435010044800 75652515067200 151305030134400