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145237160080 = 2453122716971
BaseRepresentation
bin1000011101000011001…
…1110011000010010000
3111212212211100011210001
42013100303303002100
54334421203110310
6150415424215344
713331053330405
oct2072063630220
9455784304701
10145237160080
115665a655011
122419376a554
13109078b8b9c
14705adc62ac
153ba08c293a
hex21d0cf3090

145237160080 has 120 divisors (see below), whose sum is σ = 350258332032. Its totient is φ = 56005344000.

The previous prime is 145237160063. The next prime is 145237160099. The reversal of 145237160080 is 80061732541.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20830995 + ... + 20837965.

Almost surely, 2145237160080 is an apocalyptic number.

145237160080 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 145237160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175129166016).

145237160080 is an abundant number, since it is smaller than the sum of its proper divisors (205021171952).

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

145237160080 is a wasteful number, since it uses less digits than its factorization.

145237160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 145237160080 in words is "one hundred forty-five billion, two hundred thirty-seven million, one hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 271 310 496 542 620 961 1084 1240 1355 1922 2168 2480 2710 3844 4336 4805 5420 6971 7688 8401 9610 10840 13942 15376 16802 19220 21680 27884 33604 34855 38440 42005 55768 67208 69710 76880 84010 111536 134416 139420 168020 216101 260431 278840 336040 432202 520862 557680 672080 864404 1041724 1080505 1302155 1728808 1889141 2083448 2161010 2604310 3457616 3778282 4166896 4322020 5208620 6699131 7556564 8644040 9445705 10417240 13398262 15113128 17288080 18891410 20834480 26796524 30226256 33495655 37782820 53593048 58563371 66991310 75565640 107186096 117126742 133982620 151131280 234253484 267965240 292816855 468506968 535930480 585633710 937013936 1171267420 1815464501 2342534840 3630929002 4685069680 7261858004 9077322505 14523716008 18154645010 29047432016 36309290020 72618580040 145237160080