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1398668931 = 331117377487
BaseRepresentation
bin101001101011101…
…1111111010000011
310121110211202002000
41103113133322003
510331024401211
6350442155043
746442326662
oct12327377203
93543752060
101398668931
1165856a740
123304b2a83
13193a0396a
14d3a86dd9
1582bd0656
hex535dfe83

1398668931 has 64 divisors (see below), whose sum is σ = 2458460160. Its totient is φ = 776148480.

The previous prime is 1398668923. The next prime is 1398668941.

1398668931 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1398668931 - 23 = 1398668923 is a prime.

It is a super-2 number, since 2×13986689312 = 3912549557089365522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1398668941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183070 + ... + 190556.

It is an arithmetic number, because the mean of its divisors is an integer number (38413440).

Almost surely, 21398668931 is an apocalyptic number.

1398668931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1398668931 is a deficient number, since it is larger than the sum of its proper divisors (1059791229).

1398668931 is a wasteful number, since it uses less digits than its factorization.

1398668931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7561 (or 7555 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1398668931 is about 37398.7824801824. The cubic root of 1398668931 is about 1118.3342934307.

The spelling of 1398668931 in words is "one billion, three hundred ninety-eight million, six hundred sixty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 37 51 99 111 153 187 297 333 407 459 561 629 999 1221 1683 1887 3663 5049 5661 6919 7487 10989 16983 20757 22461 62271 67383 82357 127279 186813 202149 247071 277019 381837 741213 831057 1145511 1400069 2223639 2493171 3047209 3436533 4200207 4709323 7479513 9141627 12600621 14127969 27424881 37801863 42383907 51802553 82274643 127151721 155407659 466222977 1398668931