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2344426325712 = 243319668942701
BaseRepresentation
bin100010000111011010101…
…100101100011011010000
322022010101002202001121000
4202013122230230123100
5301402341114410322
64553003052302000
7331244032653042
oct42073254543320
98263332661530
102344426325712
118242a15a6149
1231a447771900
13140103494c73
1481683daba92
1540eb5a5c3ac
hex221dab2c6d0

2344426325712 has 160 divisors (see below), whose sum is σ = 7084774224000. Its totient is φ = 740217139200.

The previous prime is 2344426325701. The next prime is 2344426325719. The reversal of 2344426325712 is 2175236244432.

It is a happy number.

2344426325712 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 4 + 2 + 632 + 5 + 7 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344426325719) 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, 54881962 + ... + 54924662.

It is an arithmetic number, because the mean of its divisors is an integer number (44279838900).

Almost surely, 22344426325712 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 2344426325712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542387112000).

2344426325712 is an abundant number, since it is smaller than the sum of its proper divisors (4740347898288).

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

2344426325712 is a wasteful number, since it uses less digits than its factorization.

2344426325712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49426 (or 49414 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 2344426325712 in words is "two trillion, three hundred forty-four billion, four hundred twenty-six million, three hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 6689 8208 13378 20067 26756 40134 42701 53512 60201 80268 85402 107024 120402 127091 128103 160536 170804 180603 240804 254182 256206 321072 341608 361206 381273 384309 481608 508364 512412 683216 722412 762546 768618 811319 963216 1016728 1024824 1143819 1152927 1444824 1525092 1537236 1622638 2033456 2049648 2287638 2305854 2433957 2889648 3050184 3074472 3245276 3431457 4575276 4611708 4867914 6100368 6148944 6490552 6862914 7301871 9150552 9223416 9735828 12981104 13725828 14603742 18301104 18446832 19471656 21905613 27451656 29207484 38943312 43811226 54903312 58414968 87622452 116829936 175244904 285626989 350489808 571253978 856880967 1142507956 1713761934 2285015912 2570642901 3427523868 4570031824 5141285802 5426912791 6855047736 7711928703 10282571604 10853825582 13710095472 15423857406 16280738373 20565143208 21707651164 30847714812 32561476746 41130286416 43415302328 48842215119 61695429624 65122953492 86830604656 97684430238 123390859248 130245906984 146526645357 195368860476 260491813968 293053290714 390737720952 586106581428 781475441904 1172213162856 2344426325712