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141412140200 = 235210110367967
BaseRepresentation
bin1000001110110011010…
…0100000010010101000
3111112000020220000221002
42003230310200102220
54304103001441300
6144544104534132
713134216234062
oct2035464402250
9445006800832
10141412140200
1154a77514a61
12234a6781348
1310448301506
146bb6dc0732
153a29bb35d5
hex20ecd204a8

141412140200 has 96 divisors (see below), whose sum is σ = 335267112960. Its totient is φ = 55460256000.

The previous prime is 141412140193. The next prime is 141412140251. The reversal of 141412140200 is 2041214141.

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

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, 2046617 + ... + 2114583.

It is an arithmetic number, because the mean of its divisors is an integer number (3492365760).

Almost surely, 2141412140200 is an apocalyptic number.

141412140200 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 141412140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167633556480).

141412140200 is an abundant number, since it is smaller than the sum of its proper divisors (193854972760).

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

141412140200 is a wasteful number, since it uses less digits than its factorization.

141412140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68187 (or 68178 counting only the distinct ones).

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

Adding to 141412140200 its reverse (2041214141), we get a palindrome (143453354341).

The spelling of 141412140200 in words is "one hundred forty-one billion, four hundred twelve million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 103 200 202 206 404 412 505 515 808 824 1010 1030 2020 2060 2525 2575 4040 4120 5050 5150 10100 10300 10403 20200 20600 20806 41612 52015 67967 83224 104030 135934 208060 260075 271868 339835 416120 520150 543736 679670 1040300 1359340 1699175 2080600 2718680 3398350 6796700 6864667 7000601 13593400 13729334 14001202 27458668 28002404 34323335 35003005 54917336 56004808 68646670 70006010 137293340 140012020 171616675 175015025 274586680 280024040 343233350 350030050 686466700 700060100 707060701 1372933400 1400120200 1414121402 2828242804 3535303505 5656485608 7070607010 14141214020 17676517525 28282428040 35353035050 70706070100 141412140200