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342451105000 = 2354711019551
BaseRepresentation
bin1001111101110111010…
…11010010110011101000
31012201221000011121012021
410332323223102303220
521102314440330000
6421153031354224
733512154236014
oct4767353226350
91181830147167
10342451105000
111222617a2854
1256452222974
13263a6951154
1412809073544
158d9446411a
hex4fbbad2ce8

342451105000 has 160 divisors (see below), whose sum is σ = 821805937920. Its totient is φ = 133700000000.

The previous prime is 342451104991. The next prime is 342451105069. The reversal of 342451105000 is 501154243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35850225 + ... + 35859775.

It is an arithmetic number, because the mean of its divisors is an integer number (5136287112).

Almost surely, 2342451105000 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 342451105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410902968960).

342451105000 is an abundant number, since it is smaller than the sum of its proper divisors (479354832920).

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

342451105000 is a wasteful number, since it uses less digits than its factorization.

342451105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 342451105000 its reverse (501154243), we get a palindrome (342952259243).

The spelling of 342451105000 in words is "three hundred forty-two billion, four hundred fifty-one million, one hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 101 125 142 200 202 250 284 355 404 500 505 568 625 710 808 1000 1010 1250 1420 1775 2020 2500 2525 2840 3550 4040 5000 5050 7100 7171 8875 9551 10100 12625 14200 14342 17750 19102 20200 25250 28684 35500 35855 38204 44375 47755 50500 57368 63125 71000 71710 76408 88750 95510 101000 126250 143420 177500 179275 191020 238775 252500 286840 355000 358550 382040 477550 505000 678121 717100 896375 955100 964651 1193875 1356242 1434200 1792750 1910200 1929302 2387750 2712484 3390605 3585500 3858604 4481875 4775500 4823255 5424968 5969375 6781210 7171000 7717208 8963750 9551000 9646510 11938750 13562420 16953025 17927500 19293020 23877500 24116275 27124840 33906050 35855000 38586040 47755000 48232550 67812100 68490221 84765125 96465100 120581375 135624200 136980442 169530250 192930200 241162750 273960884 339060500 342451105 423825625 482325500 547921768 602906875 678121000 684902210 847651250 964651000 1205813750 1369804420 1695302500 1712255525 2411627500 2739608840 3390605000 3424511050 4823255000 6849022100 8561277625 13698044200 17122555250 34245110500 42806388125 68490221000 85612776250 171225552500 342451105000