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1261102144 = 262321932
BaseRepresentation
bin100101100101010…
…1110010001000000
310020212222121220211
41023022232101000
510040320232034
6325045443504
743152122431
oct11312562100
93225877824
101261102144
1159794a785
122b2410594
13171368cb3
14bd6b7488
1575aa9d64
hex4b2ae440

1261102144 has 63 divisors (see below), whose sum is σ = 2629659333. Its totient is φ = 600010752.

The previous prime is 1261102133. The next prime is 1261102147. The reversal of 1261102144 is 4412011621.

The square root of 1261102144 is 35512.

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

It can be written as a sum of positive squares in only one way, i.e., 305550400 + 955551744 = 17480^2 + 30912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1261102147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6534112 + ... + 6534304.

Almost surely, 21261102144 is an apocalyptic number.

1261102144 is the 35512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261102144

1261102144 is an abundant number, since it is smaller than the sum of its proper divisors (1368557189).

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

1261102144 is an frugal number, since it uses more digits than its factorization.

1261102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 1261102144 is about 1080.3971287588.

Adding to 1261102144 its reverse (4412011621), we get a palindrome (5673113765).

The spelling of 1261102144 in words is "one billion, two hundred sixty-one million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 193 368 386 529 736 772 1058 1472 1544 2116 3088 4232 4439 6176 8464 8878 12352 16928 17756 33856 35512 37249 71024 74498 102097 142048 148996 204194 284096 297992 408388 595984 816776 856727 1191968 1633552 1713454 2383936 3267104 3426908 6534208 6853816 13707632 19704721 27415264 39409442 54830528 78818884 157637768 315275536 630551072 1261102144