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42033422144 = 267194938137
BaseRepresentation
bin100111001001011000…
…110001111101000000
311000111101022002021202
4213021120301331000
51142041024002034
631150534040332
73015425123150
oct471130617500
9130441262252
1042033422144
111690a85320a
128190aa90a8
133c6b42c42c
14206a686760
15116029c47e
hex9c9631f40

42033422144 has 56 divisors (see below), whose sum is σ = 100342964160. Its totient is φ = 17066198016.

The previous prime is 42033422117. The next prime is 42033422149. The reversal of 42033422144 is 44122433024.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033422149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460557 + ... + 2477580.

Almost surely, 242033422144 is an apocalyptic number.

It is an amenable number.

42033422144 is an abundant number, since it is smaller than the sum of its proper divisors (58309542016).

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

42033422144 is a wasteful number, since it uses less digits than its factorization.

42033422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938175 (or 4938165 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42033422144 its reverse (44122433024), we get a palindrome (86155855168).

The spelling of 42033422144 in words is "forty-two billion, thirty-three million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 4938137 9876274 19752548 34566959 39505096 69133918 79010192 93824603 138267836 158020384 187649206 276535672 316040768 375298412 553071344 656772221 750596824 1106142688 1313544442 1501193648 2212285376 2627088884 3002387296 5254177768 6004774592 10508355536 21016711072 42033422144