Search a number
-
+
61304432140 = 22572194770051
BaseRepresentation
bin111001000110000001…
…110110011000001100
312212020102002211020201
4321012001312120030
52001022413312030
644055102423244
74300116034600
oct710601663014
9185212084221
1061304432140
1123aa9832256
12ba6a891b24
135a1ca87623
142d77c09500
1518dc01b2ca
hexe4607660c

61304432140 has 144 divisors (see below), whose sum is σ = 160996308480. Its totient is φ = 19488470400.

The previous prime is 61304432099. The next prime is 61304432141. The reversal of 61304432140 is 4123440316.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 61304432099 and 61304432108.

It is not an unprimeable number, because it can be changed into a prime (61304432141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840115 + ... + 910165.

It is an arithmetic number, because the mean of its divisors is an integer number (1118029920).

Almost surely, 261304432140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61304432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498154240).

61304432140 is an abundant number, since it is smaller than the sum of its proper divisors (99691876340).

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

61304432140 is a wasteful number, since it uses less digits than its factorization.

61304432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70140 (or 70131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 61304432140 its reverse (4123440316), we get a palindrome (65427872456).

The spelling of 61304432140 in words is "sixty-one billion, three hundred four million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 47 49 70 76 94 95 98 133 140 188 190 196 235 245 266 329 380 470 490 532 658 665 893 931 940 980 1316 1330 1645 1786 1862 2303 2660 3290 3572 3724 4465 4606 4655 6251 6580 8930 9212 9310 11515 12502 17860 18620 23030 25004 31255 43757 46060 62510 70051 87514 125020 140102 175028 218785 280204 350255 437570 490357 700510 875140 980714 1330969 1401020 1961428 2451785 2661938 3292397 3432499 4903570 5323876 6584794 6654845 6864998 9316783 9807140 13169588 13309690 13729996 16461985 17162495 18633566 23046779 26619380 32923970 34324990 37267132 46093558 46583915 62555543 65217481 65847940 68649980 92187116 93167830 115233895 125111086 130434962 161327453 186335660 230467790 250222172 260869924 312777715 322654906 326087405 437888801 460935580 625555430 645309812 652174810 806637265 875777602 1251110860 1304349620 1613274530 1751555204 2189444005 3065221607 3226549060 4378888010 6130443214 8757776020 12260886428 15326108035 30652216070 61304432140