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130705387024 = 24192672712
BaseRepresentation
bin111100110111010100…
…1011110111000010000
3110111101002020121201011
41321232221132320100
54120141034341044
6140013434020304
712305000313202
oct1715651367020
9414332217634
10130705387024
1150482868913
12213b8b77694
13c43007bbc4
14647d046772
1535eec4c134
hex1e6ea5ee10

130705387024 has 135 divisors (see below), whose sum is σ = 275195603151. Its totient is φ = 60130002240.

The previous prime is 130705387013. The next prime is 130705387039. The reversal of 130705387024 is 420783507031.

It is a happy number.

The square root of 130705387024 is 361532.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1840920909 + ... + 1840920979.

Almost surely, 2130705387024 is an apocalyptic number.

130705387024 is the 361532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130705387024

130705387024 is an abundant number, since it is smaller than the sum of its proper divisors (144490216127).

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

130705387024 is an frugal number, since it uses more digits than its factorization.

130705387024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 130705387024 in words is "one hundred thirty billion, seven hundred five million, three hundred eighty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 67 71 76 134 142 152 268 284 304 361 536 568 722 1072 1136 1273 1349 1444 2546 2698 2888 4489 4757 5041 5092 5396 5776 8978 9514 10082 10184 10792 17956 19028 20164 20368 21584 24187 25631 35912 38056 40328 48374 51262 71824 76112 80656 85291 90383 95779 96748 102524 170582 180766 191558 193496 205048 318719 337747 341164 361532 383116 386992 410096 637438 675494 682328 723064 766232 1274876 1350988 1364656 1446128 1532464 1620529 1717277 1819801 2549752 2701976 3241058 3434554 3639602 5099504 5403952 6055661 6417193 6482116 6869108 7279204 12111322 12834386 12964232 13738216 14558408 22629049 24222644 25668772 25928464 27476432 29116816 45258098 48445288 51337544 90516196 96890576 102675088 115057559 121926667 181032392 230115118 243853334 362064784 429951931 460230236 487706668 859903862 920460472 975413336 1719807724 1840920944 1950826672 3439615448 6879230896 8169086689 16338173378 32676346756 65352693512 130705387024