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45342433105320 = 233513130332230159
BaseRepresentation
bin10100100111101000110111…
…00111100101010110101000
312221112200202010100021000010
422103310123213211112220
521420342300333332240
6240234005354411520
712356611522136541
oct1223643347452650
9187480663307003
1045342433105320
11134a168845aa0a
125103801130ba0
131c3ba0864a070
14b2a82a76b4c8
155396d9ee9280
hex293d1b9e55a8

45342433105320 has 128 divisors (see below), whose sum is σ = 146502243417600. Its totient is φ = 11160352917504.

The previous prime is 45342433105241. The next prime is 45342433105339. The reversal of 45342433105320 is 2350133424354.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19216401 + ... + 21446559.

It is an arithmetic number, because the mean of its divisors is an integer number (1144548776700).

Almost surely, 245342433105320 is an apocalyptic number.

45342433105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45342433105320 is an abundant number, since it is smaller than the sum of its proper divisors (101159810312280).

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

45342433105320 is a wasteful number, since it uses less digits than its factorization.

45342433105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243219 (or 2243215 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 45342433105320 its reverse (2350133424354), we get a palindrome (47692566529674).

The spelling of 45342433105320 in words is "forty-five trillion, three hundred forty-two billion, four hundred thirty-three million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 13033 26066 39099 52132 65165 78198 104264 130330 156396 169429 195495 260660 312792 338858 390990 508287 521320 677716 781980 847145 1016574 1355432 1563960 1694290 2033148 2230159 2541435 3388580 4066296 4460318 5082870 6690477 6777160 8920636 10165740 11150795 13380954 17841272 20331480 22301590 26761908 28992067 33452385 44603180 53523816 57984134 66904770 86976201 89206360 115968268 133809540 144960335 173952402 231936536 267619080 289920670 347904804 434881005 579841340 695809608 869762010 1159682680 1739524020 3479048040 29065662247 58131324494 87196986741 116262648988 145328311235 174393973482 232525297976 290656622470 348787946964 377853609211 435984933705 581313244940 697575893928 755707218422 871969867410 1133560827633 1162626489880 1511414436844 1743939734820 1889268046055 2267121655266 3022828873688 3487879469640 3778536092110 4534243310532 5667804138165 7557072184220 9068486621064 11335608276330 15114144368440 22671216552660 45342433105320