Search a number
-
+
245340040140 = 2232513139754289
BaseRepresentation
bin1110010001111101100…
…1111110101111001100
3212110021011120100221100
43210133121332233030
513004424022241030
6304412504303100
723503516634646
oct3443731765714
9773234510840
10245340040140
1195059069458
123b66ba71a90
131a19b809cb0
14bc35987896
1565adb80360
hex391f67ebcc

245340040140 has 144 divisors (see below), whose sum is σ = 807210986400. Its totient is φ = 59956844544.

The previous prime is 245340040103. The next prime is 245340040151. The reversal of 245340040140 is 41040043542.

It is a happy number.

245340040140 is a `hidden beast` number, since 245 + 3 + 400 + 4 + 0 + 14 + 0 = 666.

It is a super-2 number, since 2×2453400401402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51885 + ... + 702404.

It is an arithmetic number, because the mean of its divisors is an integer number (5605631850).

Almost surely, 2245340040140 is an apocalyptic number.

245340040140 is a gapful number since it is divisible by the number (20) 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 245340040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403605493200).

245340040140 is an abundant number, since it is smaller than the sum of its proper divisors (561870946260).

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

245340040140 is a wasteful number, since it uses less digits than its factorization.

245340040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754456 (or 754451 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245340040140 its reverse (41040043542), we get a palindrome (286380083682).

The spelling of 245340040140 in words is "two hundred forty-five billion, three hundred forty million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 139 156 180 195 234 260 278 390 417 468 556 585 695 780 834 1170 1251 1390 1668 1807 2085 2340 2502 2780 3614 4170 5004 5421 6255 7228 8340 9035 10842 12510 16263 18070 21684 25020 27105 32526 36140 54210 65052 81315 108420 162630 325260 754289 1508578 2262867 3017156 3771445 4525734 6788601 7542890 9051468 9805757 11314335 13577202 15085780 19611514 22628670 27154404 29417271 33943005 39223028 45257340 49028785 58834542 67886010 88251813 98057570 104846171 117669084 135772020 147086355 176503626 196115140 209692342 294172710 314538513 353007252 419384684 441259065 524230855 588345420 629077026 882518130 943615539 1048461710 1258154052 1363000223 1572692565 1765036260 1887231078 2096923420 2726000446 3145385130 3774462156 4089000669 4718077695 5452000892 6290770260 6815001115 8178001338 9436155390 12267002007 13630002230 16356002676 18872310780 20445003345 24534004014 27260004460 40890006690 49068008028 61335010035 81780013380 122670020070 245340040140