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141404213000 = 23531912758601
BaseRepresentation
bin1000001110110001011…
…0010000111100001000
3111111222200222021212002
42003230112100330020
54304043434304000
6144543223010132
713134061656521
oct2035426207410
9444880867762
10141404213000
1154a72aa0156
12234a3b99948
131044678726b
146bb5d19848
153a291498d5
hex20ec590f08

141404213000 has 128 divisors (see below), whose sum is σ = 351049420800. Its totient is φ = 53161920000.

The previous prime is 141404212997. The next prime is 141404213009. The reversal of 141404213000 is 312404141.

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

It is not an unprimeable number, because it can be changed into a prime (141404213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383700 + ... + 2442300.

It is an arithmetic number, because the mean of its divisors is an integer number (2742573600).

Almost surely, 2141404213000 is an apocalyptic number.

141404213000 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 141404213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175524710400).

141404213000 is an abundant number, since it is smaller than the sum of its proper divisors (209645207800).

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

141404213000 is a wasteful number, since it uses less digits than its factorization.

141404213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58768 (or 58754 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141404213000 its reverse (312404141), we get a palindrome (141716617141).

The spelling of 141404213000 in words is "one hundred forty-one billion, four hundred four million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 127 152 190 200 250 254 380 475 500 508 635 760 950 1000 1016 1270 1900 2375 2413 2540 3175 3800 4750 4826 5080 6350 9500 9652 12065 12700 15875 19000 19304 24130 25400 31750 48260 58601 60325 63500 96520 117202 120650 127000 234404 241300 293005 301625 468808 482600 586010 603250 1113419 1172020 1206500 1465025 2226838 2344040 2413000 2930050 4453676 5567095 5860100 7325125 7442327 8907352 11134190 11720200 14650250 14884654 22268380 27835475 29300500 29769308 37211635 44536760 55670950 58601000 59538616 74423270 111341900 139177375 141404213 148846540 186058175 222683800 278354750 282808426 297693080 372116350 556709500 565616852 707021065 744232700 930290875 1113419000 1131233704 1414042130 1488465400 1860581750 2828084260 3535105325 3721163500 5656168520 7070210650 7442327000 14140421300 17675526625 28280842600 35351053250 70702106500 141404213000