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34212442000 = 2453111555111
BaseRepresentation
bin11111110111001110…
…000110111110010000
310021022022202010110111
4133313032012332100
51030031341121000
623414511211104
72320546646602
oct376716067620
9107268663414
1034212442000
1113567039060
126769816a94
1332c3009029
141927a9d172
15d53864cba
hex7f7386f90

34212442000 has 80 divisors (see below), whose sum is σ = 90246259584. Its totient is φ = 12440880000.

The previous prime is 34212441973. The next prime is 34212442001. The reversal of 34212442000 is 24421243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34212442001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755556 + ... + 799555.

Almost surely, 234212442000 is an apocalyptic number.

It is an amenable number.

34212442000 is an abundant number, since it is smaller than the sum of its proper divisors (56033817584).

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

34212442000 is a wasteful number, since it uses less digits than its factorization.

34212442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555145 (or 1555129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34212442000 its reverse (24421243), we get a palindrome (34236863243).

The spelling of 34212442000 in words is "thirty-four billion, two hundred twelve million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 1555111 3110222 6220444 7775555 12440888 15551110 17106221 24881776 31102220 34212442 38877775 62204440 68424884 77755550 85531105 124408880 136849768 155511100 171062210 194388875 273699536 311022200 342124420 388777750 427655525 622044400 684248840 777555500 855311050 1368497680 1555111000 1710622100 2138277625 3110222000 3421244200 4276555250 6842488400 8553110500 17106221000 34212442000