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13955750400 = 29352363431
BaseRepresentation
bin11001111111101001…
…11101101000000000
31100000121012120112110
430333310331220000
5212040133003100
610224452055320
71002556630644
oct147764755000
940017176473
1013955750400
115a11725919
122855904540
1314153b7c97
14965678c24
1556a2e2250
hex33fd3da00

13955750400 has 120 divisors (see below), whose sum is σ = 46102076064. Its totient is φ = 3721523200.

The previous prime is 13955750387. The next prime is 13955750423. The reversal of 13955750400 is 405755931.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143316 + ... + 220115.

Almost surely, 213955750400 is an apocalyptic number.

13955750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13955750400 is an abundant number, since it is smaller than the sum of its proper divisors (32146325664).

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

13955750400 is an equidigital number, since it uses as much as digits as its factorization.

13955750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363462 (or 363441 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 13955750400 in words is "thirteen billion, nine hundred fifty-five million, seven hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 363431 726862 1090293 1453724 1817155 2180586 2907448 3634310 4361172 5451465 5814896 7268620 8722344 9085775 10902930 11629792 14537240 17444688 18171550 21805860 23259584 27257325 29074480 34889376 36343100 43611720 46519168 54514650 58148960 69778752 72686200 87223440 93038336 109029300 116297920 139557504 145372400 174446880 186076672 218058600 232595840 279115008 290744800 348893760 436117200 465191680 558230016 581489600 697787520 872234400 930383360 1162979200 1395575040 1744468800 2325958400 2791150080 3488937600 4651916800 6977875200 13955750400