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1422216205440 = 27356133120779
BaseRepresentation
bin10100101100100010101…
…100010001010010000000
312000221222200200222001120
4110230202230101102000
5141300144322033230
63005205045032240
7204515562166212
oct24544254212200
95027880628046
101422216205440
114a9181a75258
121ab7753b5680
13a4164498374
144cb9ad8a5b2
1526edd749310
hex14b22b11480

1422216205440 has 128 divisors (see below), whose sum is σ = 4534090862400. Its totient is φ = 379192676352.

The previous prime is 1422216205433. The next prime is 1422216205457. The reversal of 1422216205440 is 445026122241.

It is a tau number, because it is divible by the number of its divisors (128).

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, 11714971 + ... + 11835749.

Almost surely, 21422216205440 is an apocalyptic number.

1422216205440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1422216205440 is an abundant number, since it is smaller than the sum of its proper divisors (3111874656960).

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

1422216205440 is a wasteful number, since it uses less digits than its factorization.

1422216205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126934 (or 126922 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 1422216205440 in words is "one trillion, four hundred twenty-two billion, two hundred sixteen million, two hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6133 12266 18399 24532 30665 36798 49064 61330 73596 91995 98128 120779 122660 147192 183990 196256 241558 245320 294384 362337 367980 392512 483116 490640 588768 603895 724674 735960 785024 966232 981280 1177536 1207790 1449348 1471920 1811685 1932464 1962560 2355072 2415580 2898696 2943840 3623370 3864928 3925120 4831160 5797392 5887680 7246740 7729856 9662320 11594784 11775360 14493480 15459712 19324640 23189568 28986960 38649280 46379136 57973920 77298560 115947840 231895680 740737607 1481475214 2222212821 2962950428 3703688035 4444425642 5925900856 7407376070 8888851284 11111064105 11851801712 14814752140 17777702568 22222128210 23703603424 29629504280 35555405136 44444256420 47407206848 59259008560 71110810272 88888512840 94814413696 118518017120 142221620544 177777025680 237036034240 284443241088 355554051360 474072068480 711108102720 1422216205440