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1909115445440 = 26575441156641
BaseRepresentation
bin11011110010000000001…
…001011110000011000000
320202111202112112010002202
4123302000021132003000
5222234332023223230
64021011401332332
7254633442352160
oct33620011360300
96674675463082
101909115445440
11676718997875
12269bbaa970a8
1310b04b3c5a38
146858a2d65a0
15349d9175a45
hex1bc8025e0c0

1909115445440 has 112 divisors (see below), whose sum is σ = 5196509377344. Its totient is φ = 654429388800.

The previous prime is 1909115445439. The next prime is 1909115445481. The reversal of 1909115445440 is 445445119091.

It is a tau number, because it is divible by the number of its divisors (112).

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, 12109520 + ... + 12266160.

Almost surely, 21909115445440 is an apocalyptic number.

1909115445440 is a gapful number since it is divisible by the number (10) 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 1909115445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598254688672).

1909115445440 is an abundant number, since it is smaller than the sum of its proper divisors (3287393931904).

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

1909115445440 is a wasteful number, since it uses less digits than its factorization.

1909115445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162106 (or 162096 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 1909115445440 in words is "one trillion, nine hundred nine billion, one hundred fifteen million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5441 10882 21764 27205 38087 43528 54410 76174 87056 108820 152348 156641 174112 190435 217640 304696 313282 348224 380870 435280 609392 626564 761740 783205 870560 1096487 1218784 1253128 1523480 1566410 1741120 2192974 2437568 2506256 3046960 3132820 4385948 5012512 5482435 6093920 6265640 8771896 10025024 10964870 12187840 12531280 17543792 21929740 25062560 35087584 43859480 50125120 70175168 87718960 175437920 350875840 852283681 1704567362 3409134724 4261418405 5965985767 6818269448 8522836810 11931971534 13636538896 17045673620 23863943068 27273077792 29829928835 34091347240 47727886136 54546155584 59659857670 68182694480 95455772272 119319715340 136365388960 190911544544 238639430680 272730777920 381823089088 477278861360 954557722720 1909115445440