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6121253022144 = 263132452425089
BaseRepresentation
bin101100100010011011100…
…0111001010100111000000
3210200012000122111021122020
41121010313013022213000
51300242311233202034
621004022000041440
71201150233124311
oct131046707124700
923605018437566
106121253022144
111a50010828667
1282a40b303280
13355302014490
141723ad708608
15a9363e4e249
hex591371ca9c0

6121253022144 has 56 divisors (see below), whose sum is σ = 17441647240080. Its totient is φ = 1883462467584.

The previous prime is 6121253022121. The next prime is 6121253022149. The reversal of 6121253022144 is 4412203521216.

It is a super-2 number, since 2×61212530221442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121253022149) 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 7 ways as a sum of consecutive naturals, for example, 1226210049 + ... + 1226215040.

It is an arithmetic number, because the mean of its divisors is an integer number (311457986430).

Almost surely, 26121253022144 is an apocalyptic number.

6121253022144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6121253022144 is an abundant number, since it is smaller than the sum of its proper divisors (11320394217936).

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

6121253022144 is a wasteful number, since it uses less digits than its factorization.

6121253022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452425117 (or 2452425107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 6121253022144 in words is "six trillion, one hundred twenty-one billion, two hundred fifty-three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 2452425089 4904850178 7357275267 9809700356 14714550534 19619400712 29429101068 31881526157 39238801424 58858202136 63763052314 78477602848 95644578471 117716404272 127526104628 156955205696 191289156942 235432808544 255052209256 382578313884 470865617088 510104418512 765156627768 1020208837024 1530313255536 2040417674048 3060626511072 6121253022144