Search a number
-
+
4033155016344 = 2332331139116007
BaseRepresentation
bin111010101100001010110…
…001011010011010011000
3112021120021111201001002110
4322230022301122122120
51012034400141010334
612324450021032320
7564246224666256
oct72541261323230
915246244631073
104033155016344
1113154a6954123
1255179b5556a0
1323342ba0c2bc
14dd2c47c35d6
156eda1a98ae9
hex3ab0ac5a698

4033155016344 has 128 divisors (see below), whose sum is σ = 10559560826880. Its totient is φ = 1281257577600.

The previous prime is 4033155016337. The next prime is 4033155016349. The reversal of 4033155016344 is 4436105513304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033155016349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671406189 + ... + 671412195.

It is an arithmetic number, because the mean of its divisors is an integer number (82496568960).

Almost surely, 24033155016344 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 4033155016344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279780413440).

4033155016344 is an abundant number, since it is smaller than the sum of its proper divisors (6526405810536).

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

4033155016344 is a wasteful number, since it uses less digits than its factorization.

4033155016344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10261 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 4033155016344 in words is "four trillion, thirty-three billion, one hundred fifty-five million, sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 311 552 622 933 1244 1866 2488 3732 3911 6007 7153 7464 7822 11733 12014 14306 15644 18021 21459 23466 24028 28612 31288 36042 42918 46932 48056 57224 72084 85836 89953 93864 138161 144168 171672 179906 269859 276322 359812 414483 539718 552644 719624 828966 1079436 1105288 1216321 1657932 1868177 2158872 2432642 3315864 3648963 3736354 4865284 5604531 7297926 7472708 9730568 11209062 14595852 14945416 22418124 23493377 27975383 29191704 42968071 44836248 46986754 55950766 70480131 83926149 85936142 93973508 111901532 128904213 140960262 167852298 171872284 187947016 223803064 257808426 281920524 335704596 343744568 515616852 540347671 563841048 671409192 1031233704 1080695342 1621043013 2161390684 3242086026 4322781368 6484172052 7306440247 12968344104 14612880494 21919320741 29225760988 43838641482 58451521976 87677282964 168048125681 175354565928 336096251362 504144377043 672192502724 1008288754086 1344385005448 2016577508172 4033155016344