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42673506240 = 263544451569
BaseRepresentation
bin100111101111100010…
…100000011111000000
311002010222201201121010
4213233202200133000
51144343404144430
631334241200520
73040326550431
oct475742403700
9132128651533
1042673506240
1117109099932
12832b330140
134040c20c11
1420cb6a5488
15119b586cb0
hex9ef8a07c0

42673506240 has 56 divisors (see below), whose sum is σ = 135488385360. Its totient is φ = 11379601408.

The previous prime is 42673506221. The next prime is 42673506241. The reversal of 42673506240 is 4260537624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42673506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22224825 + ... + 22226744.

Almost surely, 242673506240 is an apocalyptic number.

42673506240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42673506240 is an abundant number, since it is smaller than the sum of its proper divisors (92814879120).

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

42673506240 is a wasteful number, since it uses less digits than its factorization.

42673506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44451589 (or 44451579 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 42673506240 in words is "forty-two billion, six hundred seventy-three million, five hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 44451569 88903138 133354707 177806276 222257845 266709414 355612552 444515690 533418828 666773535 711225104 889031380 1066837656 1333547070 1422450208 1778062760 2133675312 2667094140 2844900416 3556125520 4267350624 5334188280 7112251040 8534701248 10668376560 14224502080 21336753120 42673506240