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42030985429088 = 2531210733127343
BaseRepresentation
bin10011000111010000110011…
…11101001100000001100000
312111211010022122022202020022
421203220121331030001200
521002113424232212323
6225220433530333012
711565432000253535
oct1143503175140140
9174733278282208
1042030985429088
1112435271590397
124869a77b8a168
131a5b6743cbb56
14a5444c20ad8c
154cd4c80c74c8
hex263a19f4c060

42030985429088 has 72 divisors (see below), whose sum is σ = 85512553719264. Its totient is φ = 20335519038720.

The previous prime is 42030985429067. The next prime is 42030985429129. The reversal of 42030985429088 is 88092458903024.

It is a super-2 number, since 2×420309854290882 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 42030985429088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329997545 + ... + 330124887.

It is an arithmetic number, because the mean of its divisors is an integer number (1187674357212).

Almost surely, 242030985429088 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 42030985429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42756276859632).

42030985429088 is an abundant number, since it is smaller than the sum of its proper divisors (43481568290176).

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

42030985429088 is a wasteful number, since it uses less digits than its factorization.

42030985429088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138148 (or 138109 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 62.

The spelling of 42030985429088 in words is "forty-two trillion, thirty billion, nine hundred eighty-five million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 7688 10733 15376 21466 30752 42932 85864 127343 171728 254686 332723 343456 509372 665446 1018744 1330892 2037488 2661784 3947633 4074976 5323568 7895266 10314413 10647136 15790532 20628826 31581064 41257652 63162128 82515304 122376623 126324256 165030608 244753246 330061216 489506492 979012984 1366772419 1958025968 2733544838 3916051936 5467089676 10934179352 21868358704 42369944989 43736717408 84739889978 169479779956 338959559912 677919119824 1313468294659 1355838239648 2626936589318 5253873178636 10507746357272 21015492714544 42030985429088