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145247880996 = 22343126832
BaseRepresentation
bin1000011101000101110…
…0101100011100100100
3111212220120111212010000
42013101130230130210
54334431424142441
6150420450101300
713331243421621
oct2072134543444
9455816455100
10145247880996
1156665707879
122419727a830
1310909ba091a
14705c5b7348
153ba17de2b6
hex21d172c724

145247880996 has 135 divisors (see below), whose sum is σ = 392925662283. Its totient is φ = 46785554640.

The previous prime is 145247880989. The next prime is 145247881019. The reversal of 145247880996 is 699088742541.

The square root of 145247880996 is 381114.

It is a perfect power (a square), and thus also a powerful number.

145247880996 is a `hidden beast` number, since 14 + 524 + 7 + 8 + 8 + 0 + 9 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 212661271 + ... + 212661953.

Almost surely, 2145247880996 is an apocalyptic number.

145247880996 is the 381114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145247880996

145247880996 is an abundant number, since it is smaller than the sum of its proper divisors (247677781287).

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

145247880996 is an frugal number, since it uses more digits than its factorization.

145247880996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 145247880996 in words is "one hundred forty-five billion, two hundred forty-seven million, eight hundred eighty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 683 837 961 1116 1366 1674 1922 2049 2511 2732 2883 3348 3844 4098 5022 5766 6147 8196 8649 10044 11532 12294 17298 18441 21173 24588 25947 34596 36882 42346 51894 55323 63519 73764 77841 84692 103788 110646 127038 155682 190557 221292 254076 311364 381114 466489 571671 656363 762228 932978 1143342 1312726 1399467 1715013 1865956 1969089 2286684 2625452 2798934 3430026 3938178 4198401 5597868 5907267 6860052 7876356 8396802 11814534 12595203 14461159 16793604 17721801 23629068 25190406 28922318 35443602 37785609 43383477 50380812 53165403 57844636 70887204 75571218 86766954 106330806 130150431 151142436 173533908 212661612 260300862 390451293 448295929 520601724 780902586 896591858 1171353879 1344887787 1561805172 1793183716 2342707758 2689775574 4034663361 4685415516 5379551148 8069326722 12103990083 16138653444 24207980166 36311970249 48415960332 72623940498 145247880996