Search a number
-
+
146844005243900 = 225214592417416413
BaseRepresentation
bin100001011000110111001000…
…110001010001101111111100
3201020221011001012112211201012
4201120313020301101233330
5123221343010320301100
61240151112115334352
742634062225020066
oct4130671061215774
9636834035484635
10146844005243900
1142875213821458
12145774282b13b8
1363c243a808903
14283940592a736
1511e9b39bac135
hex858dc8c51bfc

146844005243900 has 72 divisors (see below), whose sum is σ = 319002589454640. Its totient is φ = 58672917181440.

The previous prime is 146844005243861. The next prime is 146844005243939. The reversal of 146844005243900 is 9342500448641.

146844005243900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146844005243861) and next prime (146844005243939).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352432094 + ... + 352848506.

Almost surely, 2146844005243900 is an apocalyptic number.

146844005243900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146844005243900 is an abundant number, since it is smaller than the sum of its proper divisors (172158584210740).

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

146844005243900 is a wasteful number, since it uses less digits than its factorization.

146844005243900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420303 (or 420296 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 146844005243900 in words is "one hundred forty-six trillion, eight hundred forty-four billion, five million, two hundred forty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1459 2417 2918 4834 5836 7295 9668 12085 14590 24170 29180 36475 48340 60425 72950 120850 145900 241700 416413 832826 1665652 2082065 3526403 4164130 7052806 8328260 10410325 14105612 17632015 20820650 35264030 41641300 70528060 88160075 176320150 352640300 607546567 1006470221 1215093134 2012940442 2430186268 3037732835 4025880884 5032351105 6075465670 10064702210 12150931340 15188664175 20129404420 25161755525 30377328350 50323511050 60754656700 100647022100 1468440052439 2936880104878 5873760209756 7342200262195 14684400524390 29368801048780 36711001310975 73422002621950 146844005243900