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145037166240 = 25352231354981
BaseRepresentation
bin1000011100010011100…
…0111000011010100000
3111212100220000102210210
42013010320320122200
54334014003304430
6150343521454120
713323104400111
oct2070470703240
9455326012723
10145037166240
115656777674a
12241387a1340
13108a5334635
14703c606208
153b8d06a2b0
hex21c4e386a0

145037166240 has 96 divisors (see below), whose sum is σ = 458916143616. Its totient is φ = 38503111680.

The previous prime is 145037166233. The next prime is 145037166251. The reversal of 145037166240 is 42661730541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 570451 + ... + 784530.

It is an arithmetic number, because the mean of its divisors is an integer number (4780376496).

Almost surely, 2145037166240 is an apocalyptic number.

145037166240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145037166240 is an abundant number, since it is smaller than the sum of its proper divisors (313878977376).

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

145037166240 is a wasteful number, since it uses less digits than its factorization.

145037166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355222 (or 1355214 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 145037166240 its reverse (42661730541), we get a palindrome (187698896781).

The spelling of 145037166240 in words is "one hundred forty-five billion, thirty-seven million, one hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 107040 1354981 2709962 4064943 5419924 6774905 8129886 10839848 13549810 16259772 20324715 21679696 27099620 32519544 40649430 43359392 54199240 65039088 81298860 108398480 130078176 162597720 216796960 302160763 325195440 604321526 650390880 906482289 1208643052 1510803815 1812964578 2417286104 3021607630 3625929156 4532411445 4834572208 6043215260 7251858312 9064822890 9669144416 12086430520 14503716624 18129645780 24172861040 29007433248 36259291560 48345722080 72518583120 145037166240