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34242543636136 = 231119372262124469
BaseRepresentation
bin1111100100100101101101…
…01001100100111010101000
311111020112222202000210012221
413302102312221210322220
513442012212132324021
6200454450221043424
710132641103320043
oct762226651447250
9144215882023187
1034242543636136
11aa021aa1aa390
123a105266b6574
13161509a5a6434
148654c2b07c5a
153e5ad918a241
hex1f24b6a64ea8

34242543636136 has 128 divisors (see below), whose sum is σ = 75727054512000. Its totient is φ = 14345842867200.

The previous prime is 34242543636131. The next prime is 34242543636157. The reversal of 34242543636136 is 63163634524243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34242543636131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1399413310 + ... + 1399437778.

It is an arithmetic number, because the mean of its divisors is an integer number (591617613375).

Almost surely, 234242543636136 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 34242543636136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37863527256000).

34242543636136 is an abundant number, since it is smaller than the sum of its proper divisors (41484510875864).

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

34242543636136 is a wasteful number, since it uses less digits than its factorization.

34242543636136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47163 (or 47159 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 52.

The spelling of 34242543636136 in words is "thirty-four trillion, two hundred forty-two billion, five hundred forty-three million, six hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 407 418 703 814 836 1406 1628 1672 2812 3256 5624 7733 15466 22621 24469 30932 45242 48938 61864 90484 97876 180968 195752 248831 269159 429799 464911 497662 538318 836977 859598 905353 929822 995324 1076636 1673954 1719196 1810706 1859644 1990648 2153272 3347908 3438392 3621412 3719288 4727789 5114021 6695816 7242824 9206747 9455578 9958883 10228042 15902563 17201707 18413494 18911156 19917766 20456084 31805126 34403414 36826988 37822312 39835532 40912168 63610252 68806828 73653976 79671064 127220504 137613656 174928193 189218777 349856386 378437554 553513249 699712772 756875108 1107026498 1399425544 1513750216 2214052996 4428105992 6088645739 10516751731 12177291478 20479990213 21033503462 24354582956 40959980426 42067006924 48709165912 81919960852 84134013848 115684269041 163839921704 225279892343 231368538082 389119814047 450559784686 462737076164 778239628094 901119569372 925474152328 1556479256188 1802239138744 3112958512376 4280317954517 8560635909034 17121271818068 34242543636136