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144760730070 = 235112311286419
BaseRepresentation
bin1000011011010001101…
…0010111000111010110
3111211122121212000200010
42012310122113013112
54332432221330240
6150300244501050
713313206621545
oct2066432270726
9454577760603
10144760730070
1156435727100
12240800aa786
131085cc97138
147013a0815c
153b73b63280
hex21b46971d6

144760730070 has 96 divisors (see below), whose sum is σ = 394200253440. Its totient is φ = 33961435200.

The previous prime is 144760730069. The next prime is 144760730183. The reversal of 144760730070 is 70037067441.

144760730070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530680 + ... + 755739.

It is an arithmetic number, because the mean of its divisors is an integer number (4106252640).

Almost surely, 2144760730070 is an apocalyptic number.

144760730070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144760730070 is an abundant number, since it is smaller than the sum of its proper divisors (249439523370).

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

144760730070 is a wasteful number, since it uses less digits than its factorization.

144760730070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286482 (or 1286471 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 144760730070 in words is "one hundred forty-four billion, seven hundred sixty million, seven hundred thirty thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 18755 22506 37510 56265 112530 1286419 2572838 3859257 6432095 7718514 12864190 14150609 19296285 28301218 38592570 39878989 42451827 70753045 79757978 84903654 119636967 141506090 155656699 199394945 212259135 239273934 311313398 398789890 424518270 438668879 466970097 598184835 778283495 877337758 933940194 1196369670 1316006637 1556566990 2193344395 2334850485 2632013274 4386688790 4669700970 4825357669 6580033185 9650715338 13160066370 14476073007 24126788345 28952146014 48253576690 72380365035 144760730070