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1320973512480 = 253251277223171
BaseRepresentation
bin10011001110010000001…
…010000010111100100000
311200021122220201021112200
4103032100022002330200
5133120323204344410
62450502530453200
7164302645410156
oct23162012027440
94607586637480
101320973512480
1146a249123586
1219401b434200
139774b396c5b
1447d14c853d6
152456538e3c0
hex13390282f20

1320973512480 has 144 divisors (see below), whose sum is σ = 4543317402624. Its totient is φ = 349485857280.

The previous prime is 1320973512457. The next prime is 1320973512493. The reversal of 1320973512480 is 842153790231.

It is a happy number.

1320973512480 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 97 + 3 + 512 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3428706 + ... + 3794465.

It is an arithmetic number, because the mean of its divisors is an integer number (31550815296).

Almost surely, 21320973512480 is an apocalyptic number.

1320973512480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320973512480 is an abundant number, since it is smaller than the sum of its proper divisors (3222343890144).

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

1320973512480 is a wasteful number, since it uses less digits than its factorization.

1320973512480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223319 (or 7223308 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1320973512480 in words is "one trillion, three hundred twenty billion, nine hundred seventy-three million, five hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 288 360 381 480 508 635 720 762 1016 1143 1270 1440 1524 1905 2032 2286 2540 3048 3810 4064 4572 5080 5715 6096 7620 9144 10160 11430 12192 15240 18288 20320 22860 30480 36576 45720 60960 91440 182880 7223171 14446342 21669513 28892684 36115855 43339026 57785368 65008539 72231710 86678052 108347565 115570736 130017078 144463420 173356104 216695130 231141472 260034156 288926840 325042695 346712208 433390260 520068312 577853680 650085390 693424416 866780520 917342717 1040136624 1155707360 1300170780 1733561040 1834685434 2080273248 2600341560 2752028151 3467122080 3669370868 4586713585 5200683120 5504056302 7338741736 8256084453 9173427170 10401366240 11008112604 13760140755 14677483472 16512168906 18346854340 22016225208 27520281510 29354966944 33024337812 36693708680 41280422265 44032450416 55040563020 66048675624 73387417360 82560844530 88064900832 110081126040 132097351248 146774834720 165121689060 220162252080 264194702496 330243378120 440324504160 660486756240 1320973512480