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42011471089 = 74472892
BaseRepresentation
bin100111001000000101…
…000010110011110001
311000102211222212002201
4213020011002303301
51142014414033324
631144431343201
73015040420000
oct471005026361
9130384885081
1042011471089
11168a9420045
128185681b01
133c66a14c43
1420677b0c37
15115d3b3444
hex9c8142cf1

42011471089 has 45 divisors (see below), whose sum is σ = 50644396427. Its totient is φ = 34847669472.

The previous prime is 42011471069. The next prime is 42011471171. The reversal of 42011471089 is 98017411024.

The square root of 42011471089 is 204967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8067093489 + 33944377600 = 89817^2 + 184240^2 .

It is not a de Polignac number, because 42011471089 - 215 = 42011438321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42011471039) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 472038957 + ... + 472039045.

Almost surely, 242011471089 is an apocalyptic number.

42011471089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42011471089 is the 204967-th square number.

42011471089 is the 102484-th centered octagonal number.

It is an amenable number.

42011471089 is a deficient number, since it is larger than the sum of its proper divisors (8632925338).

42011471089 is an frugal number, since it uses more digits than its factorization.

42011471089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 42011471089 in words is "forty-two billion, eleven million, four hundred seventy-one thousand, eighty-nine".

Divisors: 1 7 47 49 89 329 343 623 2209 2303 2401 4183 4361 7921 15463 16121 29281 30527 55447 108241 112847 196601 204967 213689 372287 388129 757687 1376207 1434769 2606009 2716903 5303809 9633449 10043383 17497489 18242063 19018321 67434143 122482423 127694441 472039001 857376961 893861087 6001638727 42011471089