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1350555440000 = 2754131298611
BaseRepresentation
bin10011101001110011011…
…000001001001110000000
311210010000112022220021212
4103221303120021032000
5134111414143040000
62512234150105252
7166401010553624
oct23516330111600
94703015286255
101350555440000
11480849378568
121998b634b228
139a483c60790
144951d983184
15251e7434c35
hex13a73609380

1350555440000 has 160 divisors (see below), whose sum is σ = 3620751020040. Its totient is φ = 498666240000.

The previous prime is 1350555439979. The next prime is 1350555440011. The reversal of 1350555440000 is 445550531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 390695 + ... + 1689305.

Almost surely, 21350555440000 is an apocalyptic number.

1350555440000 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 1350555440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810375510020).

1350555440000 is an abundant number, since it is smaller than the sum of its proper divisors (2270195580040).

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

1350555440000 is an equidigital number, since it uses as much as digits as its factorization.

1350555440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298658 (or 1298631 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 1350555440000 in words is "one trillion, three hundred fifty billion, five hundred fifty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 1298611 2597222 5194444 6493055 10388888 12986110 16881943 20777776 25972220 32465275 33763886 41555552 51944440 64930550 67527772 83111104 84409715 103888880 129861100 135055544 162326375 166222208 168819430 207777760 259722200 270111088 324652750 337638860 415555520 422048575 519444400 540222176 649305500 675277720 811631875 831111040 844097150 1038888800 1080444352 1298611000 1350555440 1623263750 1688194300 2077777600 2110242875 2160888704 2597222000 2701110880 3246527500 3376388600 4155555200 4220485750 5194444000 5402221760 6493055000 6752777200 8440971500 10388888000 10551214375 10804443520 12986110000 13505554400 16881943000 20777776000 21102428750 25972220000 27011108800 33763886000 42204857500 51944440000 54022217600 67527772000 84409715000 103888880000 135055544000 168819430000 270111088000 337638860000 675277720000 1350555440000