Search a number
-
+
341143004240 = 245193117341849
BaseRepresentation
bin1001111011011011011…
…01010010010001010000
31012121112211202012021222
410331231231102101100
521042130102113430
6420415142304212
733434561456123
oct4755555222120
91177484665258
10341143004240
11121750372345
1256148128068
132622893ac2c
14127234443ba
158d196c39e5
hex4f6db52450

341143004240 has 160 divisors (see below), whose sum is σ = 866837376000. Its totient is φ = 124378951680.

The previous prime is 341143004233. The next prime is 341143004243. The reversal of 341143004240 is 42400341143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341143004243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8130836 + ... + 8172684.

It is an arithmetic number, because the mean of its divisors is an integer number (5417733600).

Almost surely, 2341143004240 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 341143004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433418688000).

341143004240 is an abundant number, since it is smaller than the sum of its proper divisors (525694371760).

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

341143004240 is a wasteful number, since it uses less digits than its factorization.

341143004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42085 (or 42079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 341143004240 its reverse (42400341143), we get a palindrome (383543345383).

The spelling of 341143004240 in words is "three hundred forty-one billion, one hundred forty-three million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 173 190 248 304 310 346 380 496 589 620 692 760 865 1178 1240 1384 1520 1730 2356 2480 2768 2945 3287 3460 4712 5363 5890 6574 6920 9424 10726 11780 13148 13840 16435 21452 23560 26296 26815 32870 41849 42904 47120 52592 53630 65740 83698 85808 101897 107260 131480 167396 203794 209245 214520 262960 334792 407588 418490 429040 509485 669584 795131 815176 836980 1018970 1297319 1590262 1630352 1673960 2037940 2594638 3180524 3347920 3975655 4075880 5189276 6361048 6486595 7239877 7951310 8151760 10378552 12722096 12973190 14479754 15902620 20757104 24649061 25946380 28959508 31805240 36199385 49298122 51892760 57919016 63610480 72398770 98596244 103785520 115838032 123245305 137557663 144797540 197192488 224436187 246490610 275115326 289595080 394384976 448872374 492981220 550230652 579190160 687788315 897744748 985962440 1100461304 1122180935 1375576630 1795489496 1971924880 2200922608 2244361870 2751153260 3590978992 4264287553 4488723740 5502306520 8528575106 8977447480 11004613040 17057150212 17954894960 21321437765 34114300424 42642875530 68228600848 85285751060 170571502120 341143004240