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1405137149 = 132101191431
BaseRepresentation
bin101001111000000…
…1011000011111101
310121221000100210122
41103300023003331
510334203342044
6351232544325
746551316523
oct12360130375
93557010718
101405137149
11661188379
123326b20a5
13195159b00
14d488c313
158355bdee
hex53c0b0fd

1405137149 has 24 divisors (see below), whose sum is σ = 1548232704. Its totient is φ = 1274520000.

The previous prime is 1405137133. The next prime is 1405137221. The reversal of 1405137149 is 9417315041.

It is not a de Polignac number, because 1405137149 - 24 = 1405137133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405137119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259964 + ... + 3260394.

It is an arithmetic number, because the mean of its divisors is an integer number (64509696).

Almost surely, 21405137149 is an apocalyptic number.

It is an amenable number.

1405137149 is a deficient number, since it is larger than the sum of its proper divisors (143095555).

1405137149 is a wasteful number, since it uses less digits than its factorization.

1405137149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1405137149 is about 37485.1590499494. The cubic root of 1405137149 is about 1120.0555746764.

The spelling of 1405137149 in words is "one billion, four hundred five million, one hundred thirty-seven thousand, one hundred forty-nine".

Divisors: 1 13 101 169 191 431 1313 2483 5603 17069 19291 32279 43531 72839 82321 250783 565903 1070173 3260179 7356739 8314421 13912249 108087473 1405137149