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1148344433460 = 2232577112836401
BaseRepresentation
bin10000101101011110101…
…010010111101100110100
311001210002002122110000100
4100231132222113230310
5122303302133332320
62235313034314100
7145652021426460
oct20553652275464
94053062573010
101148344433460
1140301254a434
12166682288930
1384399858213
143d819d9b4a0
151ed0ed1c790
hex10b5ea97b34

1148344433460 has 144 divisors (see below), whose sum is σ = 4036997083392. Its totient is φ = 258781824000.

The previous prime is 1148344433449. The next prime is 1148344433461. The reversal of 1148344433460 is 643344438411.

1148344433460 is a `hidden beast` number, since 1 + 1 + 483 + 44 + 43 + 34 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148344433461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6328741 + ... + 6507660.

It is an arithmetic number, because the mean of its divisors is an integer number (28034701968).

Almost surely, 21148344433460 is an apocalyptic number.

1148344433460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148344433460 is an abundant number, since it is smaller than the sum of its proper divisors (2888652649932).

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

1148344433460 is a wasteful number, since it uses less digits than its factorization.

1148344433460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12836494 (or 12836489 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 1148344433460 in words is "one trillion, one hundred forty-eight billion, three hundred forty-four million, four hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14910 17892 22365 29820 44730 89460 12836401 25672802 38509203 51345604 64182005 77018406 89854807 115527609 128364010 154036812 179709614 192546015 231055218 256728020 269564421 359419228 385092030 449274035 462110436 539128842 577638045 770184060 808693263 898548070 911384471 1078257684 1155276090 1347822105 1617386526 1797096140 1822768942 2310552180 2695644210 2734153413 3234773052 3645537884 4043466315 4556922355 5391288420 5468306826 6379691297 8086932630 8202460239 9113844710 10936613652 12759382594 13670767065 16173865260 16404920478 18227689420 19139073891 25518765188 27341534130 31898456485 32809840956 38278147782 41012301195 54683068260 57417221673 63796912970 76556295564 82024602390 95695369455 114834443346 127593825940 164049204780 191390738910 229668886692 287086108365 382781477820 574172216730 1148344433460