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42330155544 = 23322930116733
BaseRepresentation
bin100111011011000100…
…101110101000011000
311001021001122200222200
4213123010232220120
51143143004434134
631240214050200
73025660246125
oct473304565030
9131231580880
1042330155544
1116a522a6426
128254349960
133cb7a55421
142097c4974c
15117b363499
hex9db12ea18

42330155544 has 96 divisors (see below), whose sum is σ = 118654426800. Its totient is φ = 13616951040.

The previous prime is 42330155531. The next prime is 42330155591. The reversal of 42330155544 is 44555103324.

42330155544 is a `hidden beast` number, since 423 + 30 + 155 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42330155499 and 42330155508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6283602 + ... + 6290334.

Almost surely, 242330155544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330155544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59327213400).

42330155544 is an abundant number, since it is smaller than the sum of its proper divisors (76324271256).

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

42330155544 is a wasteful number, since it uses less digits than its factorization.

42330155544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 42330155544 its reverse (44555103324), we get a palindrome (86885258868).

The spelling of 42330155544 in words is "forty-two billion, three hundred thirty million, one hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 3011 6022 6733 9033 12044 13466 18066 20199 24088 26932 27099 36132 40398 53864 54198 60597 72264 80796 87319 108396 121194 161592 174638 195257 216792 242388 261957 349276 390514 484776 523914 585771 698552 781028 785871 1047828 1171542 1562056 1571742 1757313 2095656 2343084 3143484 3514626 4686168 6286968 7029252 14058504 20273063 40546126 60819189 81092252 121638378 162184504 182457567 243276756 364915134 486553512 587918827 729830268 1175837654 1459660536 1763756481 2351675308 3527512962 4703350616 5291269443 7055025924 10582538886 14110051848 21165077772 42330155544