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1345147198848 = 27331920485307
BaseRepresentation
bin10011100100110001000…
…001010101110110000000
311202121001121202210011000
4103210301001111312000
5134014330140330343
62505541352452000
7166120000351665
oct23446101256600
94677047683130
101345147198848
11479523586982
121988470aa000
1399b0166649b
14491695b3a6c
1524ecc73ced3
hex13931055d80

1345147198848 has 128 divisors (see below), whose sum is σ = 4179002832000. Its totient is φ = 424783305216.

The previous prime is 1345147198807. The next prime is 1345147198853. The reversal of 1345147198848 is 8488917415431.

1345147198848 is a `hidden beast` number, since 1 + 3 + 4 + 514 + 71 + 9 + 8 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×13451471988483 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10176990 + ... + 10308317.

It is an arithmetic number, because the mean of its divisors is an integer number (32648459625).

Almost surely, 21345147198848 is an apocalyptic number.

1345147198848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1345147198848 is an abundant number, since it is smaller than the sum of its proper divisors (2833855633152).

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

1345147198848 is a wasteful number, since it uses less digits than its factorization.

1345147198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20485349 (or 20485331 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 1345147198848 in words is "one trillion, three hundred forty-five billion, one hundred forty-seven million, one hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 20485307 40970614 61455921 81941228 122911842 163882456 184367763 245823684 327764912 368735526 389220833 491647368 553103289 655529824 737471052 778441666 983294736 1106206578 1167662499 1311059648 1474942104 1556883332 1966589472 2212413156 2335324998 2622119296 2949884208 3113766664 3502987497 3933178944 4424826312 4670649996 5899768416 6227533328 7005974994 7866357888 8849652624 9341299992 10508962491 11799536832 12455066656 14011949988 17699305248 18682599984 21017924982 23599073664 24910133312 28023899976 35398610496 37365199968 42035849964 49820266624 56047799952 70797220992 74730399936 84071699928 112095599904 149460799872 168143399856 224191199808 336286799712 448382399616 672573599424 1345147198848