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1344622253664 = 25331156979151
BaseRepresentation
bin10011100100010001101…
…110110101011001100000
311202112201000222210201210
4103210101232311121200
5134012241244104124
62505413321230120
7166100664401364
oct23442156653140
94675630883653
101344622253664
11479284231888
1219871b332340
1399a49989131
14491199a72a4
1524e9b5e8a29
hex13911bb5660

1344622253664 has 96 divisors (see below), whose sum is σ = 3547250703360. Its totient is φ = 445975424000.

The previous prime is 1344622253657. The next prime is 1344622253677. The reversal of 1344622253664 is 4663522264431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13446222536642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16948489 + ... + 17027639.

It is an arithmetic number, because the mean of its divisors is an integer number (36950528160).

Almost surely, 21344622253664 is an apocalyptic number.

It is an amenable number.

1344622253664 is an abundant number, since it is smaller than the sum of its proper divisors (2202628449696).

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

1344622253664 is a wasteful number, since it uses less digits than its factorization.

1344622253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80044 (or 80036 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 1344622253664 in words is "one trillion, three hundred forty-four billion, six hundred twenty-two million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 569 622 933 1138 1244 1707 1866 2276 2488 3414 3732 4552 4976 6828 7464 9104 9952 13656 14928 18208 27312 29856 54624 79151 158302 176959 237453 316604 353918 474906 530877 633208 707836 949812 1061754 1266416 1415672 1899624 2123508 2532832 2831344 3799248 4247016 5662688 7598496 8494032 16988064 24615961 45036919 49231922 73847883 90073838 98463844 135110757 147695766 180147676 196927688 270221514 295391532 360295352 393855376 540443028 590783064 720590704 787710752 1080886056 1181566128 1441181408 2161772112 2363132256 4323544224 14006481809 28012963618 42019445427 56025927236 84038890854 112051854472 168077781708 224103708944 336155563416 448207417888 672311126832 1344622253664