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1397082141 = 337131929927
BaseRepresentation
bin101001101000101…
…1100100000011101
310121100212010102000
41103101130200131
510330123112031
6350344152513
746423000530
oct12321344035
93540763360
101397082141
11657686544
1232ba68739
13193599630
14d3792a17
15829ba3e6
hex5345c81d

1397082141 has 64 divisors (see below), whose sum is σ = 2681548800. Its totient is φ = 698113728.

The previous prime is 1397082139. The next prime is 1397082157. The reversal of 1397082141 is 1412807931.

It is a happy number.

It is not a de Polignac number, because 1397082141 - 21 = 1397082139 is a prime.

It is a super-2 number, since 2×13970821412 = 3903677017402287762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1397082096 and 1397082105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397082121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31720 + ... + 61646.

It is an arithmetic number, because the mean of its divisors is an integer number (41899200).

Almost surely, 21397082141 is an apocalyptic number.

It is an amenable number.

1397082141 is a deficient number, since it is larger than the sum of its proper divisors (1284466659).

1397082141 is a wasteful number, since it uses less digits than its factorization.

1397082141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29975 (or 29969 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1397082141 is about 37377.5619991460. The cubic root of 1397082141 is about 1117.9112166187.

The spelling of 1397082141 in words is "one billion, three hundred ninety-seven million, eighty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 399 513 741 819 1197 1729 2223 2457 3591 5187 6669 15561 29927 46683 89781 209489 269343 389051 568613 628467 808029 1167153 1705839 1885401 2723357 3501459 3980291 5117517 5656203 7391969 8170071 10504377 11940873 15352551 22175907 24510213 35822619 51743783 66527721 73530639 107467857 155231349 199583163 465694047 1397082141