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3001414535140 = 2257219937172031
BaseRepresentation
bin101011101011010010001…
…111110100011111100100
3101121221011201222002212111
4223223102033310133210
5343133344110111030
610214455241530404
7426562564415200
oct53532217643744
911557151862774
103001414535140
11a5799029298a
1240583b7a3a04
1318a0558ca548
14a53aab0db00
1553118a0a62a
hex2bad23f47e4

3001414535140 has 144 divisors (see below), whose sum is σ = 7726204846080. Its totient is φ = 973849443840.

The previous prime is 3001414535137. The next prime is 3001414535149. The reversal of 3001414535140 is 415354141003.

It is not an unprimeable number, because it can be changed into a prime (3001414535149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17360925 + ... + 17532955.

It is an arithmetic number, because the mean of its divisors is an integer number (53654200320).

Almost surely, 23001414535140 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 3001414535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863102423040).

3001414535140 is an abundant number, since it is smaller than the sum of its proper divisors (4724790310940).

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

3001414535140 is a wasteful number, since it uses less digits than its factorization.

3001414535140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173010 (or 173001 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 3001414535140 its reverse (415354141003), we get a palindrome (3416768676143).

The spelling of 3001414535140 in words is "three trillion, one billion, four hundred fourteen million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 937 980 1330 1862 1874 2660 3724 3748 4655 4685 6559 9310 9370 13118 17803 18620 18740 26236 32795 35606 45913 65590 71212 89015 91826 124621 131180 172031 178030 183652 229565 249242 344062 356060 459130 498484 623105 688124 860155 872347 918260 1204217 1246210 1720310 1744694 2408434 2492420 3268589 3440620 3489388 4361735 4816868 6021085 6537178 8429519 8723470 12042170 13074356 16342945 16859038 17446940 22880123 24084340 32685890 33718076 42147595 45760246 65371780 84295190 91520492 114400615 160160861 161193047 168590380 228801230 320321722 322386094 457602460 640643444 644772188 800804305 805965235 1128351329 1601608610 1611930470 2256702658 3062667893 3203217220 3223860940 4513405316 5641756645 6125335786 7898459303 11283513290 12250671572 15313339465 15796918606 21438675251 22567026580 30626678930 31593837212 39492296515 42877350502 61253357860 78984593030 85754701004 107193376255 150070726757 157969186060 214386752510 300141453514 428773505020 600282907028 750353633785 1500707267570 3001414535140