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146232473800 = 23527273320357
BaseRepresentation
bin1000100000110000100…
…0100111100011001000
3111222110012012100112011
42020030020213203020
54343441003130200
6151102301225304
713364530342600
oct2101410474310
9458405170464
10146232473800
1157020467a36
1224410b62234
1310a35b7500a
147113273c00
153c0ce7a5ba
hex220c2278c8

146232473800 has 144 divisors (see below), whose sum is σ = 396058171860. Its totient is φ = 50065989120.

The previous prime is 146232473773. The next prime is 146232473833. The reversal of 146232473800 is 8374232641.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104126254596 + 42106219204 = 322686^2 + 205198^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7173222 + ... + 7193578.

Almost surely, 2146232473800 is an apocalyptic number.

146232473800 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 146232473800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198029085930).

146232473800 is an abundant number, since it is smaller than the sum of its proper divisors (249825698060).

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

146232473800 is a wasteful number, since it uses less digits than its factorization.

146232473800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 146232473800 in words is "one hundred forty-six billion, two hundred thirty-two million, four hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 733 980 1225 1400 1466 1960 2450 2932 3665 4900 5131 5864 7330 9800 10262 14660 18325 20357 20524 25655 29320 35917 36650 40714 41048 51310 71834 73300 81428 101785 102620 128275 142499 143668 146600 162856 179585 203570 205240 256550 284998 287336 359170 407140 508925 513100 569996 712495 718340 814280 897925 997493 1017850 1026200 1139992 1424990 1436680 1795850 1994986 2035700 2849980 3562475 3591700 3989972 4071400 4987465 5699960 7124950 7183400 7979944 9974930 14249900 14921681 19949860 24937325 28499800 29843362 39899720 49874650 59686724 74608405 99749300 104451767 119373448 149216810 199498600 208903534 298433620 373042025 417807068 522258835 596867240 731162369 746084050 835614136 1044517670 1462324738 1492168100 2089035340 2611294175 2924649476 2984336200 3655811845 4178070680 5222588350 5849298952 7311623690 10445176700 14623247380 18279059225 20890353400 29246494760 36558118450 73116236900 146232473800