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41420144000 = 275321112269
BaseRepresentation
bin100110100100110101…
…010011110110000000
310221220122022022211102
4212210311103312000
51134312024102000
631010025233532
72664300262214
oct464465236600
9127818268742
1041420144000
1116625656274
12803b6328a8
133ba1364b61
14200d044944
15112650a3d5
hex9a4d53d80

41420144000 has 128 divisors (see below), whose sum is σ = 103477327200. Its totient is φ = 16488192000.

The previous prime is 41420143997. The next prime is 41420144023. The reversal of 41420144000 is 44102414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369866 + ... + 3382134.

Almost surely, 241420144000 is an apocalyptic number.

41420144000 is a gapful number since it is divisible by the number (40) 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 41420144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51738663600).

41420144000 is an abundant number, since it is smaller than the sum of its proper divisors (62057183200).

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

41420144000 is a wasteful number, since it uses less digits than its factorization.

41420144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41420144000 its reverse (44102414), we get a palindrome (41464246414).

The spelling of 41420144000 in words is "forty-one billion, four hundred twenty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 211 250 320 400 422 500 640 800 844 1000 1055 1600 1688 2000 2110 3200 3376 4000 4220 5275 6752 8000 8440 10550 12269 13504 16000 16880 21100 24538 26375 27008 33760 42200 49076 52750 61345 67520 84400 98152 105500 122690 135040 168800 196304 211000 245380 306725 337600 392608 422000 490760 613450 675200 785216 844000 981520 1226900 1533625 1570432 1688000 1963040 2453800 2588759 3067250 3376000 3926080 4907600 5177518 6134500 7852160 9815200 10355036 12269000 12943795 19630400 20710072 24538000 25887590 39260800 41420144 49076000 51775180 64718975 82840288 98152000 103550360 129437950 165680576 196304000 207100720 258875900 323594875 331361152 414201440 517751800 647189750 828402880 1035503600 1294379500 1656805760 2071007200 2588759000 4142014400 5177518000 8284028800 10355036000 20710072000 41420144000