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14101988840 = 235598371993
BaseRepresentation
bin11010010001000101…
…10100010111101000
31100101210101020221222
431020202310113220
5212340102120330
610251154321212
71006313633042
oct151042642750
940353336858
1014101988840
115a87228a35
122896889208
13143979a9c4
1497ac64a92
1557807c0e5
hex3488b45e8

14101988840 has 64 divisors (see below), whose sum is σ = 32656478400. Its totient is φ = 5478303232.

The previous prime is 14101988837. The next prime is 14101988843. The reversal of 14101988840 is 4888910141.

It is an interprime number because it is at equal distance from previous prime (14101988837) and next prime (14101988843).

It is a junction number, because it is equal to n+sod(n) for n = 14101988791 and 14101988800.

It is not an unprimeable number, because it can be changed into a prime (14101988843) 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, 159884 + ... + 231876.

It is an arithmetic number, because the mean of its divisors is an integer number (510257475).

Almost surely, 214101988840 is an apocalyptic number.

14101988840 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 14101988840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16328239200).

14101988840 is an abundant number, since it is smaller than the sum of its proper divisors (18554489560).

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

14101988840 is a wasteful number, since it uses less digits than its factorization.

14101988840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72146 (or 72142 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The spelling of 14101988840 in words is "fourteen billion, one hundred one million, nine hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 83 118 166 236 295 332 415 472 590 664 830 1180 1660 2360 3320 4897 9794 19588 24485 39176 48970 71993 97940 143986 195880 287972 359965 575944 719930 1439860 2879720 4247587 5975419 8495174 11950838 16990348 21237935 23901676 29877095 33980696 42475870 47803352 59754190 84951740 119508380 169903480 239016760 352549721 705099442 1410198884 1762748605 2820397768 3525497210 7050994420 14101988840