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13938221400 = 23352191222651
BaseRepresentation
bin11001111101100100…
…00110000101011000
31022222101020000021020
430332302012011120
5212021141041100
610223024242440
71002254632665
oct147662060530
938871200236
1013938221400
115a02843044
12284ba70420
13141188b4ac
149631d4a6c
155689cd5a0
hex33ec86158

13938221400 has 96 divisors (see below), whose sum is σ = 45482654400. Its totient is φ = 3521232000.

The previous prime is 13938221393. The next prime is 13938221431. The reversal of 13938221400 is 412283931.

It is a congruent number.

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, 599926 + ... + 622725.

It is an arithmetic number, because the mean of its divisors is an integer number (473777650).

Almost surely, 213938221400 is an apocalyptic number.

13938221400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13938221400 is an abundant number, since it is smaller than the sum of its proper divisors (31544433000).

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

13938221400 is a wasteful number, since it uses less digits than its factorization.

13938221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222689 (or 1222680 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13938221400 in words is "thirteen billion, nine hundred thirty-eight million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1222651 2445302 3667953 4890604 6113255 7335906 9781208 12226510 14671812 18339765 23230369 24453020 29343624 30566275 36679530 46460738 48906040 61132550 69691107 73359060 91698825 92921476 116151845 122265100 139382214 146718120 183397650 185842952 232303690 244530200 278764428 348455535 366795300 464607380 557528856 580759225 696911070 733590600 929214760 1161518450 1393822140 1742277675 2323036900 2787644280 3484555350 4646073800 6969110700 13938221400