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114304421140 = 225713367317099
BaseRepresentation
bin110101001110100010…
…0110000110100010100
3101221001001221020010021
41222131010300310110
53333043412434030
6124302152234524
711154366356140
oct1523504606424
9357031836107
10114304421140
1144526958458
121a1a039ba44
13aa18206870
145764b3c220
152e8ee5197a
hex1a9d130d14

114304421140 has 96 divisors (see below), whose sum is σ = 295530681600. Its totient is φ = 36163501056.

The previous prime is 114304421137. The next prime is 114304421207. The reversal of 114304421140 is 41124403411.

It is a super-3 number, since 3×1143044211403 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6676311 + ... + 6693409.

It is an arithmetic number, because the mean of its divisors is an integer number (3078444600).

Almost surely, 2114304421140 is an apocalyptic number.

114304421140 is a gapful number since it is divisible by the number (10) 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 114304421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147765340800).

114304421140 is an abundant number, since it is smaller than the sum of its proper divisors (181226260460).

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

114304421140 is a wasteful number, since it uses less digits than its factorization.

114304421140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20801 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114304421140 its reverse (41124403411), we get a palindrome (155428824551).

The spelling of 114304421140 in words is "one hundred fourteen billion, three hundred four million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3673 7346 14692 17099 18365 25711 34198 36730 47749 51422 68396 73460 85495 95498 102844 119693 128555 170990 190996 222287 238745 239386 257110 334243 341980 444574 477490 478772 514220 598465 668486 889148 954980 1111435 1196930 1336972 1556009 1671215 2222870 2393860 3112018 3342430 4445740 6224036 6684860 7780045 15560090 31120180 62804627 125609254 251218508 314023135 439632389 628046270 816460151 879264778 1256092540 1632920302 1758529556 2198161945 3265840604 4082300755 4396323890 5715221057 8164601510 8792647780 11430442114 16329203020 22860884228 28576105285 57152210570 114304421140