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1406657421 = 34131976781
BaseRepresentation
bin101001111010111…
…1110001110001101
310122000212121020000
41103311332032031
510340101014141
6351325314513
746600251021
oct12365761615
93560777200
101406657421
116620265a4
12333105a39
1319556ca90
14d4b66381
158375c5b6
hex53d7e38d

1406657421 has 40 divisors (see below), whose sum is σ = 2274764184. Its totient is φ = 861114240.

The previous prime is 1406657411. The next prime is 1406657449. The reversal of 1406657421 is 1247566041.

1406657421 is a `hidden beast` number, since 1 + 4 + 0 + 66 + 574 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 306740196 + 1099917225 = 17514^2 + 33165^2 .

It is not a de Polignac number, because 1406657421 - 229 = 869786509 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406657411) 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 39 ways as a sum of consecutive naturals, for example, 204051 + ... + 210831.

Almost surely, 21406657421 is an apocalyptic number.

It is an amenable number.

1406657421 is a deficient number, since it is larger than the sum of its proper divisors (868106763).

1406657421 is a wasteful number, since it uses less digits than its factorization.

1406657421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1406657421 is about 37505.4318865948. The cubic root of 1406657421 is about 1120.4593728381.

The spelling of 1406657421 in words is "one billion, four hundred six million, six hundred fifty-seven thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 197 351 591 1053 1773 2561 5319 6781 7683 15957 20343 23049 61029 69147 88153 183087 207441 264459 549261 793377 1335857 2380131 4007571 7140393 12022713 17366141 36068139 52098423 108204417 156295269 468885807 1406657421