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141410230400 = 2752272916193
BaseRepresentation
bin1000001110110010110…
…1001110000010000000
3111112000010022000011202
42003230231032002000
54304102004333100
6144544000000332
713134164061125
oct2035455160200
9445003260152
10141410230400
1154a7643010a
12234a60000a8
1310447ab315a
146bb6a4474c
153a299377d5
hex20ecb4e080

141410230400 has 96 divisors (see below), whose sum is σ = 349477046100. Its totient is φ = 56539873280.

The previous prime is 141410230361. The next prime is 141410230417. The reversal of 141410230400 is 4032014141.

It can be written as a sum of positive squares in 6 ways, for example, as 129007398976 + 12402831424 = 359176^2 + 111368^2 .

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 11 ways as a sum of consecutive naturals, for example, 8724704 + ... + 8740896.

Almost surely, 2141410230400 is an apocalyptic number.

141410230400 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 141410230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174738523050).

141410230400 is an abundant number, since it is smaller than the sum of its proper divisors (208066815700).

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

141410230400 is a wasteful number, since it uses less digits than its factorization.

141410230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18946 (or 18929 counting only the distinct ones).

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

Adding to 141410230400 its reverse (4032014141), we get a palindrome (145442244541).

The spelling of 141410230400 in words is "one hundred forty-one billion, four hundred ten million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2729 3200 5458 10916 13645 16193 21832 27290 32386 43664 54580 64772 68225 80965 87328 109160 129544 136450 161930 174656 218320 259088 272900 323860 349312 404825 436640 518176 545800 647720 809650 873280 1036352 1091600 1295440 1619300 1746560 2072704 2183200 2590880 3238600 4366400 5181760 6477200 8732800 10363520 12954400 25908800 44190697 51817600 88381394 176762788 220953485 353525576 441906970 707051152 883813940 1104767425 1414102304 1767627880 2209534850 2828204608 3535255760 4419069700 5656409216 7070511520 8838139400 14141023040 17676278800 28282046080 35352557600 70705115200 141410230400