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1355443734256 = 241723331654571
BaseRepresentation
bin10011101110010110101…
…111100000011011110000
311210120122012111222101021
4103232112233200123300
5134201422043444011
62514403211145224
7166633105433443
oct23562657403360
94716565458337
101355443734256
11482927719377
1219a83b445214
139aa8290a7a1
1449864c8765a
15253d1673471
hex13b96be06f0

1355443734256 has 80 divisors (see below), whose sum is σ = 2910321370368. Its totient is φ = 608278809600.

The previous prime is 1355443734199. The next prime is 1355443734301. The reversal of 1355443734256 is 6524373445531.

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, 1743451 + ... + 2398021.

Almost surely, 21355443734256 is an apocalyptic number.

1355443734256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355443734256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455160685184).

1355443734256 is an abundant number, since it is smaller than the sum of its proper divisors (1554877636112).

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

1355443734256 is a wasteful number, since it uses less digits than its factorization.

1355443734256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654950 (or 654944 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 52.

The spelling of 1355443734256 in words is "one trillion, three hundred fifty-five billion, four hundred forty-three million, seven hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 331 368 391 662 782 1324 1564 2648 3128 5296 5627 6256 7613 11254 15226 22508 30452 45016 60904 90032 121808 129421 258842 517684 654571 1035368 1309142 2070736 2618284 5236568 10473136 11127707 15055133 22255414 30110266 44510828 60220532 89021656 120441064 178043312 216663001 240882128 255937261 433326002 511874522 866652004 1023749044 1733304008 2047498088 3466608016 3683271017 4094996176 4983249023 7366542034 9966498046 14733084068 19932996092 29466168136 39865992184 58932336272 79731984368 84715233391 169430466782 338860933564 677721867128 1355443734256