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14401201040120 = 23519157120693941
BaseRepresentation
bin1101000110010000101001…
…1110001110101011111000
31212222202000110110111001202
43101210022132032223320
53341422124431240440
650343453113433332
73014311121051216
oct321441236165370
955882013414052
1014401201040120
114652573604224
12174707110b848
1380604835bccb
1437b043d51cb6
1519e91ce8a615
hexd190a78eaf8

14401201040120 has 64 divisors (see below), whose sum is σ = 34325357104800. Its totient is φ = 5422537336320.

The previous prime is 14401201040087. The next prime is 14401201040129. The reversal of 14401201040120 is 2104010210441.

14401201040120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144012010401202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14401201040092 and 14401201040101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401201040129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60227651 + ... + 60466290.

Almost surely, 214401201040120 is an apocalyptic number.

14401201040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401201040120 is an abundant number, since it is smaller than the sum of its proper divisors (19924156064680).

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

14401201040120 is a wasteful number, since it uses less digits than its factorization.

14401201040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120694128 (or 120694124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14401201040120 its reverse (2104010210441), we get a palindrome (16505211250561).

The spelling of 14401201040120 in words is "fourteen trillion, four hundred one billion, two hundred one million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 157 190 314 380 628 760 785 1256 1570 2983 3140 5966 6280 11932 14915 23864 29830 59660 119320 120693941 241387882 482775764 603469705 965551528 1206939410 2293184879 2413878820 4586369758 4827757640 9172739516 11465924395 18345479032 18948948737 22931848790 37897897474 45863697580 75795794948 91727395160 94744743685 151591589896 189489487370 360030026003 378978974740 720060052006 757957949480 1440120104012 1800150130015 2880240208024 3600300260030 7200600520060 14401201040120