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144378080 = 25571111719
BaseRepresentation
bin10001001101100…
…00100011100000
3101001200011111022
420212300203200
5243430044310
622154305012
73402123230
oct1046604340
9331604438
10144378080
1174552430
1240428168
1323bb1022
1415263cc0
15ca1da55
hex89b08e0

144378080 has 96 divisors (see below), whose sum is σ = 425295360. Its totient is φ = 44997120.

The previous prime is 144378079. The next prime is 144378083. The reversal of 144378080 is 80873441.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144378080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144378083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6461 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (4430160).

Almost surely, 2144378080 is an apocalyptic number.

144378080 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 144378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212647680).

144378080 is an abundant number, since it is smaller than the sum of its proper divisors (280917280).

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

144378080 is a wasteful number, since it uses less digits than its factorization.

144378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11752 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 144378080 is about 12015.7430065727. The cubic root of 144378080 is about 524.6066047639.

The spelling of 144378080 in words is "one hundred forty-four million, three hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 11719 12320 23438 46876 58595 82033 93752 117190 128909 164066 187504 234380 257818 328132 375008 410165 468760 515636 644545 656264 820330 902363 937520 1031272 1289090 1312528 1640660 1804726 1875040 2062544 2578180 2625056 3281320 3609452 4125088 4511815 5156360 6562640 7218904 9023630 10312720 13125280 14437808 18047260 20625440 28875616 36094520 72189040 144378080