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14243211400 = 23521141157907
BaseRepresentation
bin11010100001111011…
…00010100010001000
31100202122010002220011
431100331202202020
5213132230231100
610313201241304
71012650204445
oct152075424210
940678102804
1014243211400
116049a155a0
122916033234
13145cb15652
149919069cc
15585675bba
hex350f62888

14243211400 has 96 divisors (see below), whose sum is σ = 37007318880. Its totient is φ = 5052992000.

The previous prime is 14243211391. The next prime is 14243211421. The reversal of 14243211400 is 411234241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 11247 + ... + 169153.

It is an arithmetic number, because the mean of its divisors is an integer number (385492905).

Almost surely, 214243211400 is an apocalyptic number.

14243211400 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 14243211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503659440).

14243211400 is an abundant number, since it is smaller than the sum of its proper divisors (22764107480).

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

14243211400 is a wasteful number, since it uses less digits than its factorization.

14243211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157975 (or 157966 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14243211400 its reverse (411234241), we get a palindrome (14654445641).

The spelling of 14243211400 in words is "fourteen billion, two hundred forty-three million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 3608 4100 4510 8200 9020 11275 18040 22550 45100 90200 157907 315814 631628 789535 1263256 1579070 1736977 3158140 3473954 3947675 6316280 6474187 6947908 7895350 8684885 12948374 13895816 15790700 17369770 25896748 31581400 32370935 34739540 43424425 51793496 64741870 69479080 71216057 86848850 129483740 142432114 161854675 173697700 258967480 284864228 323709350 347395400 356080285 569728456 647418700 712160570 1294837400 1424321140 1780401425 2848642280 3560802850 7121605700 14243211400