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45523441040 = 24571110769067
BaseRepresentation
bin101010011001011010…
…001001010110010000
311100111121101102011212
4222121122021112100
51221213000103130
632525125155252
73201053602310
oct523132112620
9140447342155
1045523441040
1118340883050
1289a585bb28
1343a64b297c
1422bbda7440
1512b6886e95
hexa99689590

45523441040 has 160 divisors (see below), whose sum is σ = 133194046464. Its totient is φ = 14056312320.

The previous prime is 45523441037. The next prime is 45523441063. The reversal of 45523441040 is 4014432554.

It is a junction number, because it is equal to n+sod(n) for n = 45523440988 and 45523441006.

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, 624587 + ... + 693653.

Almost surely, 245523441040 is an apocalyptic number.

45523441040 is a gapful number since it is divisible by the number (40) 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 45523441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66597023232).

45523441040 is an abundant number, since it is smaller than the sum of its proper divisors (87670605424).

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

45523441040 is a wasteful number, since it uses less digits than its factorization.

45523441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69205 (or 69199 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 45523441040 its reverse (4014432554), we get a palindrome (49537873594).

The spelling of 45523441040 in words is "forty-five billion, five hundred twenty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 107 110 112 140 154 176 214 220 280 308 385 428 440 535 560 616 749 770 856 880 1070 1177 1232 1498 1540 1712 2140 2354 2996 3080 3745 4280 4708 5885 5992 6160 7490 8239 8560 9416 11770 11984 14980 16478 18832 23540 29960 32956 41195 47080 59920 65912 69067 82390 94160 131824 138134 164780 276268 329560 345335 483469 552536 659120 690670 759737 966938 1105072 1381340 1519474 1933876 2417345 2762680 3038948 3798685 3867752 4834690 5318159 5525360 6077896 7390169 7597370 7735504 9669380 10636318 12155792 14780338 15194740 19338760 21272636 26590795 29560676 30389480 36950845 38677520 42545272 51731183 53181590 59121352 60778960 73901690 81291859 85090544 103462366 106363180 118242704 147803380 162583718 206924732 212726360 258655915 295606760 325167436 406459295 413849464 425452720 517311830 569043013 591213520 650334872 812918590 827698928 1034623660 1138086026 1300669744 1625837180 2069247320 2276172052 2845215065 3251674360 4138494640 4552344104 5690430130 6503348720 9104688208 11380860260 22761720520 45523441040