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14404000420140 = 22352919494247389
BaseRepresentation
bin1101000110011011000101…
…0101000001000100101100
31220000000020112222201112020
43101212301111001010230
53341443343101421030
650345034554110140
73014440362305052
oct321466125010454
956000215881466
1014404000420140
11465377a7a8931
12174771271b350
138063a32ccca6
1437b22ba541d2
1519ea33b01510
hexd19b154112c

14404000420140 has 96 divisors (see below), whose sum is σ = 41743348920000. Its totient is φ = 3706712497152.

The previous prime is 14404000420127. The next prime is 14404000420153. The reversal of 14404000420140 is 4102400040441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14404000420127) and next prime (14404000420153).

It is a self number, because there is not a number n which added to its sum of digits gives 14404000420140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267566 + ... + 5514954.

It is an arithmetic number, because the mean of its divisors is an integer number (434826551250).

Almost surely, 214404000420140 is an apocalyptic number.

14404000420140 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 14404000420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871674460000).

14404000420140 is an abundant number, since it is smaller than the sum of its proper divisors (27339348499860).

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

14404000420140 is a wasteful number, since it uses less digits than its factorization.

14404000420140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249379 (or 4249377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14404000420140 its reverse (4102400040441), we get a palindrome (18506400460581).

The spelling of 14404000420140 in words is "fourteen trillion, four hundred four billion, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1949 3898 5847 7796 9745 11694 19490 23388 29235 38980 56521 58470 113042 116940 169563 226084 282605 339126 565210 678252 847815 1130420 1695630 3391260 4247389 8494778 12742167 16989556 21236945 25484334 42473890 50968668 63710835 84947780 123174281 127421670 246348562 254843340 369522843 492697124 615871405 739045686 1231742810 1478091372 1847614215 2463485620 3695228430 7390456860 8278161161 16556322322 24834483483 33112644644 41390805805 49668966966 82781611610 99337933932 124172417415 165563223220 240066673669 248344834830 480133347338 496689669660 720200021007 960266694676 1200333368345 1440400042014 2400666736690 2880800084028 3601000105035 4801333473380 7202000210070 14404000420140