Search a number
-
+
145412430242430 = 235131669487145863
BaseRepresentation
bin100001000100000001111000…
…010000000010001001111110
3201001212021220021121210000110
4201010001320100002021332
5123024414124120224210
61233133314231010450
742425462402206131
oct4104017020021176
9631767807553013
10145412430242430
1142373079a8322a
1214385aa0809a26
13631a444447520
1427c9ddba4c218
1511c279ea11420
hex84407840227e

145412430242430 has 128 divisors (see below), whose sum is σ = 376145795450880. Its totient is φ = 35764258936320.

The previous prime is 145412430242377. The next prime is 145412430242447. The reversal of 145412430242430 is 34242034214541.

It is a super-2 number, since 2×1454124302424302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3170559679 + ... + 3170605541.

It is an arithmetic number, because the mean of its divisors is an integer number (2938639026960).

Almost surely, 2145412430242430 is an apocalyptic number.

145412430242430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145412430242430 is an abundant number, since it is smaller than the sum of its proper divisors (230733365208450).

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

145412430242430 is a wasteful number, since it uses less digits than its factorization.

145412430242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426.

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 145412430242430 its reverse (34242034214541), we get a palindrome (179654464456971).

The spelling of 145412430242430 in words is "one hundred forty-five trillion, four hundred twelve billion, four hundred thirty million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1669 3338 4871 5007 8345 9742 10014 14613 16690 21697 24355 25035 29226 43394 45863 48710 50070 63323 65091 73065 91726 108485 126646 130182 137589 146130 189969 216970 229315 275178 316615 325455 379938 458630 596219 633230 650910 687945 949845 1192438 1375890 1788657 1899690 2981095 3577314 5962190 8129699 8943285 16259398 17886570 24389097 40648495 48778194 76545347 81296990 105686087 121945485 153090694 211372174 223398673 229636041 243890970 317058261 382726735 446797346 459272082 528430435 634116522 670196019 765453470 995089511 1056860870 1116993365 1148180205 1340392038 1585291305 1990179022 2233986730 2296360410 2904182749 2985268533 3170582610 3350980095 4975447555 5808365498 5970537066 6701960190 8712548247 9950895110 14520913745 14926342665 17425096494 29041827490 29852685330 43562741235 87125482470 372852385237 745704770474 1118557155711 1864261926185 2237114311422 3728523852370 4847081008081 5592785778555 9694162016162 11185571557110 14541243024243 24235405040405 29082486048486 48470810080810 72706215121215 145412430242430