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144148080 = 2435641937
BaseRepresentation
bin10001001011110…
…00011001110000
3101001020110222210
420211320121300
5243400214310
622145332120
73400144536
oct1045703160
9331213883
10144148080
117440564a
1240337040
1323b3042b
1415204156
15c9c5820
hex8978670

144148080 has 80 divisors (see below), whose sum is σ = 448033824. Its totient is φ = 38338560.

The previous prime is 144148007. The next prime is 144148091. The reversal of 144148080 is 80841441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 153372 + ... + 154308.

Almost surely, 2144148080 is an apocalyptic number.

144148080 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 144148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224016912).

144148080 is an abundant number, since it is smaller than the sum of its proper divisors (303885744).

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

144148080 is a wasteful number, since it uses less digits than its factorization.

144148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 144148080 is about 12006.1684146109. The cubic root of 144148080 is about 524.3278836735.

The spelling of 144148080 in words is "one hundred forty-four million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 641 937 1282 1874 1923 2564 2811 3205 3748 3846 4685 5128 5622 6410 7496 7692 9370 9615 10256 11244 12820 14055 14992 15384 18740 19230 22488 25640 28110 30768 37480 38460 44976 51280 56220 74960 76920 112440 153840 224880 600617 1201234 1801851 2402468 3003085 3603702 4804936 6006170 7207404 9009255 9609872 12012340 14414808 18018510 24024680 28829616 36037020 48049360 72074040 144148080