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1102404144 = 243293159433
BaseRepresentation
bin100000110110101…
…0101101000110000
32211211100221012010
41001231111220300
54224203413034
6301220202520
736214165152
oct10155255060
92754327163
101102404144
11516307606
12269239440
1314751305a
14a65a6ad2
1566bad3e9
hex41b55a30

1102404144 has 160 divisors (see below), whose sum is σ = 3099801600. Its totient is φ = 336752640.

The previous prime is 1102404137. The next prime is 1102404167. The reversal of 1102404144 is 4414042011.

It is a self number, because there is not a number n which added to its sum of digits gives 1102404144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545752 + ... + 2546184.

It is an arithmetic number, because the mean of its divisors is an integer number (19373760).

Almost surely, 21102404144 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 1102404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

1102404144 is an abundant number, since it is smaller than the sum of its proper divisors (1997397456).

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

1102404144 is a wasteful number, since it uses less digits than its factorization.

1102404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1102404144 is about 33202.4719561662. The cubic root of 1102404144 is about 1033.0316137026.

Adding to 1102404144 its reverse (4414042011), we get a palindrome (5516446155).

The spelling of 1102404144 in words is "one billion, one hundred two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 48 58 59 62 87 93 116 118 124 174 177 186 232 236 248 348 354 372 433 464 472 496 696 708 744 866 899 944 1299 1392 1416 1488 1711 1732 1798 1829 2598 2697 2832 3422 3464 3596 3658 5133 5196 5394 5487 6844 6928 7192 7316 10266 10392 10788 10974 12557 13423 13688 14384 14632 20532 20784 21576 21948 25114 25547 26846 27376 29264 37671 40269 41064 43152 43896 50228 51094 53041 53692 75342 76641 80538 82128 87792 100456 102188 106082 107384 150684 153282 159123 161076 200912 204376 212164 214768 301368 306564 318246 322152 389267 408752 424328 602736 613128 636492 644304 740863 778534 791957 848656 1167801 1226256 1272984 1481726 1557068 1583914 2222589 2335602 2375871 2545968 2963452 3114136 3167828 4445178 4671204 4751742 5926904 6228272 6335656 8890356 9342408 9503484 11853808 12671312 17780712 18684816 19006968 22966753 35561424 38013936 45933506 68900259 91867012 137800518 183734024 275601036 367468048 551202072 1102404144